428633920
428,633,920 is an even composite number composed of seven prime numbers multiplied together.
428633920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 428633920:
26 × 5 × 11 × 13 × 17 × 19 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 17 × 19 × 29)See below for interesting mathematical facts about the number 428633920 from the Numbermatics database.
Names of 428633920
- Cardinal: 428633920 can be written as Four hundred twenty-eight million, six hundred thirty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.2863392 × 108
Factors of 428633920
Divisors of 428633920
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 19 20 22 26 29 32 34 38 40 44 52 55 58 64 65 68 76 80 85 88 95 104 110 116 130 136 143 145 152 160 170 176 187 190 208 209 220 221 232 247 260 272 286 290 304 319 320 323 340 352 374 377 380 416 418 440 442 464 493 494 520 544 551 572 580 608 638 646 680 704 715 748 754 760 832 836 880 884 928 935 986 988 1040 1045 1088 1102 1105 1144 1160 1216 1235 1276 1292 1360 1430 1496 1508 1520 1595 1615 1672 1760 1768 1856 1870 1885 1972 1976 2080 2090 2204 2210 2288 2320 2431 2465 2470 2552 2584 2717 2720 2755 2860 2992 3016 3040 3190 3230 3344 3520 3536 3553 3740 3770 3944 3952 4147 4160 4180 4199 4408 4420 4576 4640 4862 4930 4940 5104 5168 5423 5434 5440 5510 5720 5984 6032 6061 6080 6380 6409 6460 6688 7072 7106 7163 7480 7540 7888 7904 8294 8360 8398 8816 8840 9152 9280 9367 9724 9860 9880 10208 10336 10846 10868 11020 11440 11968 12064 12122 12155 12760 12818 12920 13376 13585 14144 14212 14326 14960 15080 15776 15808 16588 16720 16796 17632 17680 17765 18734 19448 19720 19760 20416 20672 20735 20995 21692 21736 22040 22880 24128 24244 24310 25520 25636 25840 27115 27170 28424 28652 29920 30160 30305 31552 32045 33176 33440 33592 35264 35360 35530 35815 37468 38896 39440 39520 41470 41990 43384 43472 44080 45760 46189 46835 48488 48620 51040 51272 51680 54230 54340 56848 57304 59840 60320 60610 64090 66352 66880 67184 70499 70720 71060 71630 74936 77792 78793 78880 79040 82940 83980 86768 86944 88160 92378 93670 96976 97240 102080 102544 103037 103360 108460 108680 113696 114608 120640 121220 121771 128180 132704 134368 140998 142120 143260 149872 155584 157586 157760 165880 167960 173536 173888 176320 184756 187340 193952 194480 205088 206074 216920 217360 227392 229216 230945 242440 243542 256360 265408 268736 281996 284240 286520 299744 315172 331760 335920 347072 352495 369512 374680 387904 388960 393965 410176 412148 433840 434720 458432 461890 484880 487084 512720 515185 563992 568480 573040 599488 608855 630344 663520 671840 704990 739024 749360 777920 787930 824296 867680 869440 923780 969760 974168 1025440 1030370 1127984 1136960 1146080 1217710 1260688 1327040 1339481 1343680 1409980 1478048 1498720 1575860 1648592 1735360 1847560 1939520 1948336 2050880 2060740 2255968 2292160 2435420 2521376 2678962 2819960 2956096 2997440 3151720 3297184 3695120 3896672 4121480 4511936 4870840 5042752 5357924 5639920 6303440 6594368 6697405 7390240 7793344 8242960 9741680 10715848 11279840 12606880 13394810 14780480 16485920 19483360 21431696 22559680 25213760 26789620 32971840 38966720 42863392 53579240 85726784 107158480 214316960 428633920
- Sum of all divisors σ(n): 1382572800
- Sum of proper divisors (its aliquot sum) s(n): 953938880
- 428633920 is an abundant number, because the sum of its proper divisors (953938880) is greater than itself. Its abundance is 525304960
Bases of 428633920
- Binary: 110011000110001101111010000002
- Hexadecimal: 0x198C6F40
- Base-36: 73741S
Squares and roots of 428633920
- 428633920 squared (4286339202) is 183727037374566400
- 428633920 cubed (4286339203) is 78751640239846904332288000
-
The
square root of 428633920 is 20703.4760366465 -
The
cube root of 428633920 is 753.9840845447
Scales and comparisons
How big is 428633920?- 428,633,920 seconds is equal to 13 years, 32 weeks, 5 days, 58 minutes, 40 seconds.
-
To count from 1 to 428,633,920 would take you about twenty 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 428633920 cubic inches would be around 62.8 feet tall.
Recreational maths with 428633920
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 428633920 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 428633920 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/428633920/
Chicago style:
Numbermatics. 2024. "Number 428633920 - Facts about the integer". https://numbermatics.com/n/428633920/
The information we have on file for 428633920 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 428633920, math, Factors of 428633920, curriculum, school, college, exams, university, Prime factorization of 428633920, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight million, six hundred thirty-three thousand, nine hundred twenty.