28416960
28,416,960 is an even composite number composed of six prime numbers multiplied together.
28416960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 28416960:
26 × 33 × 5 × 11 × 13 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 13 × 23)See below for interesting mathematical facts about the number 28416960 from the Numbermatics database.
Names of 28416960
- Cardinal: 28416960 can be written as Twenty-eight million, four hundred sixteen thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 2.841696 × 107
Factors of 28416960
Divisors of 28416960
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 23 24 26 27 30 32 33 36 39 40 44 45 46 48 52 54 55 60 64 65 66 69 72 78 80 88 90 92 96 99 104 108 110 115 117 120 130 132 135 138 143 144 156 160 165 176 180 184 192 195 198 207 208 216 220 230 234 240 253 260 264 270 276 286 288 297 299 312 320 330 345 351 352 360 368 390 396 414 416 429 432 440 460 468 480 495 506 520 528 540 552 572 576 585 594 598 621 624 660 690 702 704 715 720 736 759 780 792 828 832 858 864 880 897 920 936 960 990 1012 1035 1040 1056 1080 1104 1144 1170 1188 1196 1242 1248 1265 1287 1320 1380 1404 1430 1440 1472 1485 1495 1518 1560 1584 1656 1716 1728 1755 1760 1794 1840 1872 1980 2024 2070 2080 2112 2145 2160 2208 2277 2288 2340 2376 2392 2484 2496 2530 2574 2640 2691 2760 2808 2860 2880 2970 2990 3036 3105 3120 3168 3289 3312 3432 3510 3520 3588 3680 3744 3795 3861 3960 4048 4140 4160 4290 4320 4416 4485 4554 4576 4680 4752 4784 4968 5060 5148 5280 5382 5520 5616 5720 5940 5980 6072 6210 6240 6336 6435 6578 6624 6831 6864 7020 7176 7360 7488 7590 7722 7920 8073 8096 8280 8580 8640 8970 9108 9152 9360 9504 9568 9867 9936 10120 10296 10560 10764 11040 11232 11385 11440 11880 11960 12144 12420 12480 12870 13156 13248 13455 13662 13728 14040 14352 15180 15444 15840 16146 16192 16445 16560 17160 17940 18216 18720 19008 19136 19305 19734 19872 20240 20592 21528 22080 22464 22770 22880 23760 23920 24288 24840 25740 26312 26910 27324 27456 28080 28704 29601 30360 30888 31680 32292 32890 33120 34155 34320 35880 36432 37440 38610 39468 39744 40365 40480 41184 43056 45540 45760 47520 47840 48576 49335 49680 51480 52624 53820 54648 56160 57408 59202 60720 61776 64584 65780 66240 68310 68640 71760 72864 77220 78936 80730 80960 82368 86112 88803 91080 95040 95680 98670 99360 102960 105248 107640 109296 112320 118404 121440 123552 129168 131560 136620 137280 143520 145728 148005 154440 157872 161460 172224 177606 182160 197340 198720 205920 210496 215280 218592 236808 242880 247104 258336 263120 273240 287040 296010 308880 315744 322920 355212 364320 394680 411840 430560 437184 444015 473616 516672 526240 546480 592020 617760 631488 645840 710424 728640 789360 861120 888030 947232 1052480 1092960 1184040 1235520 1291680 1420848 1578720 1776060 1894464 2185920 2368080 2583360 2841696 3157440 3552120 4736160 5683392 7104240 9472320 14208480 28416960
- Sum of all divisors σ(n): 122895360
- Sum of proper divisors (its aliquot sum) s(n): 94478400
- 28416960 is an abundant number, because the sum of its proper divisors (94478400) is greater than itself. Its abundance is 66061440
Bases of 28416960
- Binary: 11011000110011011110000002
- Hexadecimal: 0x1B19BC0
- Base-36: GX2O0
Squares and roots of 28416960
- 28416960 squared (284169602) is 807523615641600
- 28416960 cubed (284169603) is 22947366284742721536000
-
The
square root of 28416960 is 5330.7560439397 -
The
cube root of 28416960 is 305.1587814293
Scales and comparisons
How big is 28416960?- 28,416,960 seconds is equal to 46 weeks, 6 days, 21 hours, 36 minutes.
-
To count from 1 to 28,416,960 would take you about eighteen weeks!
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 28416960 cubic inches would be around 25.4 feet tall.
Recreational maths with 28416960
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