928828320
928,828,320 is an even composite number composed of seven prime numbers multiplied together.
928828320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 928828320:
25 × 3 × 5 × 72 × 17 × 23 × 101
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 17 × 23 × 101)See below for interesting mathematical facts about the number 928828320 from the Numbermatics database.
Names of 928828320
- Cardinal: 928828320 can be written as Nine hundred twenty-eight million, eight hundred twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 9.2882832 × 108
Factors of 928828320
Divisors of 928828320
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 23 24 28 30 32 34 35 40 42 46 48 49 51 56 60 68 69 70 80 84 85 92 96 98 101 102 105 112 115 119 120 136 138 140 147 160 161 168 170 184 196 202 204 210 224 230 238 240 245 255 272 276 280 294 303 322 336 340 345 357 368 391 392 404 408 420 460 476 480 483 490 505 510 544 552 560 588 595 606 644 672 680 690 707 714 735 736 782 784 805 808 816 833 840 920 952 966 980 1010 1020 1104 1120 1127 1173 1176 1190 1212 1288 1360 1380 1414 1428 1470 1515 1564 1568 1610 1616 1632 1666 1680 1717 1785 1840 1904 1932 1955 1960 2020 2040 2121 2208 2254 2323 2346 2352 2380 2415 2424 2499 2576 2720 2737 2760 2828 2856 2940 3030 3128 3220 3232 3332 3360 3381 3434 3535 3570 3680 3808 3864 3910 3920 4040 4080 4165 4242 4508 4646 4692 4704 4760 4830 4848 4949 4998 5151 5152 5474 5520 5635 5656 5712 5865 5880 6060 6256 6440 6664 6762 6868 6969 7070 7140 7728 7820 7840 8080 8160 8211 8330 8484 8585 9016 9292 9384 9520 9660 9696 9898 9996 10302 10605 10948 11040 11270 11312 11424 11615 11730 11760 12019 12120 12495 12512 12880 13328 13524 13685 13736 13938 14140 14280 14847 15456 15640 16160 16261 16422 16660 16905 16968 17170 18032 18584 18768 19040 19159 19320 19796 19992 20604 21210 21896 22540 22624 23230 23460 23520 24038 24240 24745 24990 25755 25760 26656 27048 27370 27472 27876 28280 28560 29694 31280 32522 32844 33320 33810 33936 34340 34845 36057 36064 37168 37536 38318 38640 39491 39592 39984 41055 41208 42420 43792 45080 46460 46920 48076 48480 48783 49490 49980 51510 54096 54740 54944 55752 56560 57120 57477 59388 60095 62560 65044 65688 66640 67620 67872 68680 69690 72114 74235 74336 76636 77280 78982 79184 79968 81305 82110 82416 84133 84840 87584 90160 92920 93840 95795 96152 97566 98980 99960 103020 108192 109480 111504 113120 113827 114954 118473 118776 120190 130088 131376 133280 135240 137360 139380 144228 148470 153272 157964 158368 162610 164220 164832 168266 169680 180285 180320 185840 187680 191590 192304 195132 197455 197960 199920 206040 218960 223008 227654 229908 236946 237552 240380 243915 252399 260176 262752 270480 274720 276437 278760 287385 288456 296940 306544 315928 325220 328440 336532 339360 341481 360570 371680 383180 384608 390264 394910 395920 399840 412080 420665 437920 455308 459816 473892 475104 480760 487830 504798 520352 540960 552874 557520 569135 574770 576912 592365 593880 613088 631856 650440 656880 673064 682962 721140 766360 780528 789820 791840 824160 829311 841330 910616 919632 947784 961520 975660 1009596 1105748 1115040 1138270 1149540 1153824 1184730 1187760 1261995 1263712 1300880 1313760 1346128 1365924 1382185 1442280 1532720 1561056 1579640 1658622 1682660 1707405 1821232 1839264 1895568 1923040 1935059 1951320 2019192 2211496 2276540 2299080 2369460 2375520 2523990 2601760 2692256 2731848 2764370 2884560 3065440 3159280 3317244 3365320 3414810 3642464 3791136 3870118 3902640 4038384 4146555 4422992 4553080 4598160 4738920 5047980 5463696 5528740 5769120 5805177 6318560 6634488 6730640 6829620 7740236 7805280 8076768 8293110 8845984 9106160 9196320 9477840 9675295 10095960 10927392 11057480 11610354 13268976 13461280 13659240 15480472 16586220 18212320 18955680 19350590 20191920 22114960 23220708 26537952 27318480 29025885 30960944 33172440 38701180 40383840 44229920 46441416 54636960 58051770 61921888 66344880 77402360 92882832 116103540 132689760 154804720 185765664 232207080 309609440 464414160 928828320
- Sum of all divisors σ(n): 3797611776
- Sum of proper divisors (its aliquot sum) s(n): 2868783456
- 928828320 is an abundant number, because the sum of its proper divisors (2868783456) is greater than itself. Its abundance is 1939955136
Bases of 928828320
- Binary: 1101110101110011001011101000002
- Hexadecimal: 0x375CCBA0
- Base-36: FD00IO
Squares and roots of 928828320
- 928828320 squared (9288283202) is 862722048034022400
- 928828320 cubed (9288283203) is 801320670502400328634368000
-
The
square root of 928828320 is 30476.6848590853 -
The
cube root of 928828320 is 975.6899153787
Scales and comparisons
How big is 928828320?- 928,828,320 seconds is equal to 29 years, 27 weeks, 5 days, 7 hours, 52 minutes.
-
To count from 1 to 928,828,320 would take you about forty-four 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 928828320 cubic inches would be around 81.3 feet tall.
Recreational maths with 928828320
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 928828320 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 928828320 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/928828320/
Chicago style:
Numbermatics. 2024. "Number 928828320 - Facts about the integer". https://numbermatics.com/n/928828320/
The information we have on file for 928828320 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 928828320, math, Factors of 928828320, curriculum, school, college, exams, university, Prime factorization of 928828320, STEM, science, technology, engineering, physics, economics, calculator, nine hundred twenty-eight million, eight hundred twenty-eight thousand, three hundred twenty.