728828464000
728,828,464,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 728828464000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
728828464000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 728828464000:
27 × 53 × 7 × 13 × 29 × 41 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 29 × 41 × 421)See below for interesting mathematical facts about the number 728828464000 from the Numbermatics database.
Names of 728828464000
- Cardinal: 728828464000 can be written as Seven hundred twenty-eight billion, eight hundred twenty-eight million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 7.28828464 × 1011
Factors of 728828464000
Divisors of 728828464000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 29 32 35 40 41 50 52 56 58 64 65 70 80 82 91 100 104 112 116 125 128 130 140 145 160 164 175 182 200 203 205 208 224 232 250 260 280 287 290 320 325 328 350 364 377 400 406 410 416 421 448 455 464 500 520 533 560 574 580 640 650 656 700 725 728 754 800 812 820 832 842 875 896 910 928 1000 1015 1025 1040 1066 1120 1148 1160 1189 1300 1312 1400 1435 1450 1456 1508 1600 1624 1625 1640 1664 1684 1750 1820 1856 1885 2000 2030 2050 2080 2105 2132 2240 2275 2296 2320 2378 2600 2624 2639 2665 2800 2870 2900 2912 2947 3016 3200 3248 3250 3280 3368 3500 3625 3640 3712 3731 3770 4000 4060 4100 4160 4210 4264 4480 4550 4592 4640 4756 5075 5125 5200 5248 5278 5330 5473 5600 5740 5800 5824 5894 5945 6032 6496 6500 6560 6736 7000 7175 7250 7280 7462 7540 8000 8120 8200 8320 8323 8420 8528 9100 9184 9280 9425 9512 10150 10250 10400 10525 10556 10660 10946 11200 11375 11480 11600 11648 11788 11890 12064 12209 12992 13000 13120 13195 13325 13472 14000 14350 14500 14560 14735 14924 15080 15457 16000 16240 16400 16646 16840 17056 17261 18200 18368 18560 18655 18850 19024 20300 20500 20800 21050 21112 21320 21892 22400 22750 22960 23200 23576 23780 24128 24418 25375 25984 26000 26240 26390 26650 26944 27365 28000 28700 29000 29120 29470 29725 29848 30160 30914 32480 32800 33292 33680 34112 34522 35875 36400 36736 37310 37700 38048 38311 40600 41000 41600 41615 42100 42224 42640 43784 45500 45920 46400 47125 47152 47560 48256 48836 50750 52000 52625 52780 53300 53888 54730 56000 57400 58000 58240 58940 59450 59696 60320 61045 61828 64960 65600 65975 66584 66625 67360 68224 69044 71750 72800 73675 74620 75400 76096 76622 77285 81200 82000 83230 84200 84448 85280 85463 86305 87568 91000 91840 92800 93275 94250 94304 95120 97672 101500 104000 105250 105560 106600 108199 109460 112000 114800 116000 117880 118900 119392 120640 120827 122090 123656 129920 131200 131950 133168 133250 134720 136825 138088 143500 145600 147350 148625 149240 150800 152192 153244 154570 158717 162400 164000 166460 168400 168896 170560 170926 172610 175136 182000 183680 186550 188500 188608 190240 191555 195344 203000 208000 208075 210500 211120 213200 216398 218920 224393 229600 232000 235760 237800 238784 241280 241654 244180 247312 263900 266336 266500 269440 273650 276176 287000 291200 294700 297250 298480 301600 305225 306488 309140 317434 324800 328000 329875 332920 336800 337792 341120 341852 345220 350272 364000 368375 373100 377000 377216 380480 383110 386425 390688 406000 416150 421000 422240 426400 427315 431525 432796 437840 448786 459200 464000 466375 471520 475600 477568 483308 488360 494624 500569 527800 532672 533000 540995 547300 552352 574000 589400 594500 596960 603200 604135 610450 612976 618280 634868 649600 656000 659750 665840 673600 683704 684125 690440 700544 728000 736750 746200 754000 760960 766220 772850 781376 793585 812000 832300 842000 844480 852800 854630 863050 865592 875680 897572 918400 932750 943040 951200 957775 966616 976720 989248 1001138 1040375 1055600 1065344 1066000 1081990 1094600 1104704 1111019 1121965 1148000 1178800 1189000 1193920 1206400 1208270 1220900 1225952 1236560 1269736 1319500 1331680 1347200 1367408 1368250 1380880 1456000 1473500 1492400 1508000 1526125 1532440 1545700 1562752 1570751 1587170 1624000 1664600 1684000 1688960 1705600 1709260 1726100 1731184 1751360 1795144 1865500 1886080 1902400 1915550 1932125 1933232 1953440 1978496 2002276 2080750 2111200 2132000 2136575 2157625 2163980 2189200 2209408 2222038 2243930 2296000 2357600 2378000 2387840 2416540 2441800 2451904 2473120 2502845 2539472 2639000 2663360 2704975 2734816 2736500 2761760 2947000 2984800 3016000 3020675 3052250 3064880 3091400 3141502 3174340 3248000 3329200 3368000 3418520 3452200 3462368 3502720 3503983 3590288 3731000 3804800 3831100 3864250 3866464 3906880 3967925 4004552 4161500 4222400 4264000 4273150 4315250 4327960 4378400 4444076 4487860 4592000 4715200 4756000 4788875 4833080 4883600 4903808 4946240 5005690 5078944 5278000 5326720 5409950 5469632 5473000 5523520 5555095 5609825 5894000 5969600 6032000 6041350 6104500 6129760 6182800 6283004 6348680 6507397 6658400 6736000 6837040 6904400 6924736 7007966 7180576 7462000 7662200 7728500 7732928 7813760 7853755 7935850 8009104 8323000 8444800 8528000 8546300 8630500 8655920 8756800 8888152 8975720 9430400 9512000 9577750 9666160 9767200 9892480 10011380 10157888 10556000 10682875 10819900 10939264 10946000 11047040 11110190 11219650 11788000 11939200 12082700 12209000 12259520 12365600 12514225 12566008 12697360 13014794 13316800 13524875 13674080 13808800 13849472 14015932 14361152 14924000 15103375 15324400 15457000 15465856 15707510 15871700 16018208 16646000 17092600 17261000 17311840 17513600 17519915 17776304 17951440 19024000 19155500 19332320 19534400 19839625 20022760 20315776 21112000 21365750 21639800 21892000 22220380 22439300 23576000 24165400 24418000 24519040 24731200 25028450 25132016 25394720 26029588 26633600 27049750 27348160 27617600 27775475 28031864 28049125 28722304 29848000 30206750 30648800 30914000 31415020 31743400 32036416 32536985 33292000 34185200 34522000 34623680 35039830 35552608 35902880 38311000 38664640 39068800 39268775 39679250 40045520 42224000 42731500 43279600 43784000 44440760 44878600 45551779 47152000 48330800 48836000 49462400 50056900 50264032 50789440 52059176 54099500 54696320 55235200 55550950 56063728 56098250 59696000 60413500 61297600 61828000 62571125 62830040 63486800 64072832 65073970 66584000 68370400 69044000 69247360 70079660 71105216 71805760 76622000 77329280 78537550 79358500 80091040 85463000 86559200 87568000 87599575 88881520 89757200 91103558 96661600 97672000 100113800 100528064 101578880 104118352 108199000 111101900 112127456 112196500 120827000 122595200 123656000 125142250 125660080 126973600 130147940 133168000 136740800 138088000 138877375 140159320 142210432 143611520 153244000 157075100 158717000 160182080 162684925 170926000 173118400 175199150 177763040 179514400 182207116 193323200 195344000 196343875 200227600 201056128 208236704 216398000 222203800 224254912 224393000 227758895 241654000 247312000 250284500 251320160 253947200 260295880 273481600 276176000 277754750 280318640 306488000 314150200 317434000 320364160 325369850 341852000 346236800 350398300 355526080 359028800 364414232 386646400 392687750 400455200 416473408 432796000 437997875 444407600 448509824 448786000 455517790 483308000 500569000 502640320 507894400 520591760 555509500 560637280 612976000 628300400 634868000 650739700 683704000 700796600 711052160 718057600 728828464 785375500 800910400 813424625 832946816 865592000 875995750 888815200 897572000 911035580 966616000 1001138000 1005280640 1041183520 1111019000 1121274560 1138794475 1256600800 1269736000 1301479400 1367408000 1401593200 1457656928 1570751000 1601820800 1626849250 1731184000 1751991500 1777630400 1795144000 1822071160 1933232000 2002276000 2082367040 2222038000 2242549120 2277588950 2513201600 2539472000 2602958800 2803186400 2915313856 3141502000 3253698500 3503983000 3555260800 3590288000 3644142320 4004552000 4164734080 4444076000 4555177900 5026403200 5205917600 5606372800 5693972375 5830627712 6283004000 6507397000 7007966000 7288284640 8009104000 8888152000 9110355800 10411835200 11212745600 11387944750 12566008000 13014794000 14015932000 14576569280 17776304000 18220711600 20823670400 22775889500 25132016000 26029588000 28031864000 29153138560 36441423200 45551779000 52059176000 56063728000 72882846400 91103558000 104118352000 145765692800 182207116000 364414232000 728828464000
- Sum of all divisors σ(n): 2369004019200
- Sum of proper divisors (its aliquot sum) s(n): 1640175555200
- 728828464000 is an abundant number, because the sum of its proper divisors (1640175555200) is greater than itself. Its abundance is 911347091200
Bases of 728828464000
- Binary: 10101001101100011000111111001011100000002
- Hexadecimal: 0xA9B18FCB80
- Base-36: 9ATHNDZ4
Squares and roots of 728828464000
- 728828464000 squared (7288284640002) is 531190929936599296000000
- 728828464000 cubed (7288284640003) is 387147069556423282287161344000000000
-
The
square root of 728828464000 is 853714.5096576489 -
The
cube root of 728828464000 is 8999.2940351601
Scales and comparisons
How big is 728828464000?- 728,828,464,000 seconds is equal to 23,174 years, 25 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 728,828,464,000 would take you about forty-six thousand, three hundred forty-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 728828464000 cubic inches would be around 749.9 feet tall.
Recreational maths with 728828464000
- 728828464000 backwards is 000464828827
- The number of decimal digits it has is: 12
- The sum of 728828464000's digits is 49
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 728828464000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 728828464000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/728828464000/
Chicago style:
Numbermatics. 2024. "Number 728828464000 - Facts about the integer". https://numbermatics.com/n/728828464000/
The information we have on file for 728828464000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 728828464000, math, Factors of 728828464000, curriculum, school, college, exams, university, Prime factorization of 728828464000, STEM, science, technology, engineering, physics, economics, calculator, seven hundred twenty-eight billion, eight hundred twenty-eight million, four hundred sixty-four thousand.