28348320
28,348,320 is an even composite number composed of seven prime numbers multiplied together.
28348320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 28348320:
25 × 3 × 5 × 7 × 11 × 13 × 59
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 59)See below for interesting mathematical facts about the number 28348320 from the Numbermatics database.
Names of 28348320
- Cardinal: 28348320 can be written as Twenty-eight million, three hundred forty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.834832 × 107
Factors of 28348320
Divisors of 28348320
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 26 28 30 32 33 35 39 40 42 44 48 52 55 56 59 60 65 66 70 77 78 80 84 88 91 96 104 105 110 112 118 120 130 132 140 143 154 156 160 165 168 176 177 182 195 208 210 220 224 231 236 240 260 264 273 280 286 295 308 312 330 336 352 354 364 385 390 413 416 420 429 440 455 462 472 480 520 528 546 560 572 590 616 624 649 660 672 708 715 728 767 770 780 826 840 858 880 885 910 924 944 1001 1040 1056 1092 1120 1144 1155 1180 1232 1239 1248 1298 1320 1365 1416 1430 1456 1534 1540 1560 1652 1680 1716 1760 1770 1820 1848 1888 1947 2002 2065 2080 2145 2184 2288 2301 2310 2360 2464 2478 2596 2640 2730 2832 2860 2912 3003 3068 3080 3120 3245 3304 3360 3432 3540 3640 3696 3835 3894 4004 4130 4290 4368 4543 4576 4602 4620 4720 4956 5005 5192 5280 5369 5460 5664 5720 6006 6136 6160 6195 6240 6490 6608 6864 7080 7280 7392 7670 7788 8008 8260 8437 8580 8736 9086 9204 9240 9440 9735 9912 10010 10384 10738 10920 11440 11505 12012 12272 12320 12390 12980 13216 13629 13728 14160 14560 15015 15340 15576 16016 16107 16520 16874 17160 18172 18408 18480 19470 19824 20020 20768 21476 21840 22715 22880 23010 24024 24544 24780 25311 25960 26845 27258 28320 30030 30680 31152 32032 32214 33040 33748 34320 36344 36816 36960 38940 39648 40040 42185 42952 43680 45430 46020 48048 49560 50622 51920 53690 54516 59059 60060 61360 62304 64428 66080 67496 68145 68640 72688 73632 77880 80080 80535 84370 85904 90860 92040 96096 99120 101244 103840 107380 109032 118118 120120 122720 126555 128856 134992 136290 145376 155760 160160 161070 168740 171808 177177 181720 184080 198240 202488 214760 218064 236236 240240 253110 257712 269984 272580 295295 311520 322140 337480 354354 363440 368160 404976 429520 436128 472472 480480 506220 515424 545160 590590 644280 674960 708708 726880 809952 859040 885885 944944 1012440 1090320 1181180 1288560 1349920 1417416 1771770 1889888 2024880 2180640 2362360 2577120 2834832 3543540 4049760 4724720 5669664 7087080 9449440 14174160 28348320
- Sum of all divisors σ(n): 121927680
- Sum of proper divisors (its aliquot sum) s(n): 93579360
- 28348320 is an abundant number, because the sum of its proper divisors (93579360) is greater than itself. Its abundance is 65231040
Bases of 28348320
- Binary: 11011000010001111101000002
- Hexadecimal: 0x1B08FA0
- Base-36: GVLPC
Squares and roots of 28348320
- 28348320 squared (283483202) is 803627246822400
- 28348320 cubed (283483203) is 22781482353640378368000
-
The
square root of 28348320 is 5324.3140403249 -
The
cube root of 28348320 is 304.9128838359
Scales and comparisons
How big is 28348320?- 28,348,320 seconds is equal to 46 weeks, 6 days, 2 hours, 32 minutes.
-
To count from 1 to 28,348,320 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 28348320 cubic inches would be around 25.4 feet tall.
Recreational maths with 28348320
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