428628480
428,628,480 is an even composite number composed of six prime numbers multiplied together.
428628480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 428628480:
29 × 3 × 5 × 72 × 17 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 17 × 67)See below for interesting mathematical facts about the number 428628480 from the Numbermatics database.
Names of 428628480
- Cardinal: 428628480 can be written as Four hundred twenty-eight million, six hundred twenty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.2862848 × 108
Factors of 428628480
Divisors of 428628480
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 49 51 56 60 64 67 68 70 80 84 85 96 98 102 105 112 119 120 128 134 136 140 147 160 168 170 192 196 201 204 210 224 238 240 245 255 256 268 272 280 294 320 335 336 340 357 384 392 402 408 420 448 469 476 480 490 510 512 536 544 560 588 595 640 670 672 680 714 735 768 784 804 816 833 840 896 938 952 960 980 1005 1020 1072 1088 1120 1139 1176 1190 1280 1340 1344 1360 1407 1428 1470 1536 1568 1608 1632 1666 1680 1785 1792 1876 1904 1920 1960 2010 2040 2144 2176 2240 2278 2345 2352 2380 2499 2560 2680 2688 2720 2814 2856 2940 3136 3216 3264 3283 3332 3360 3417 3570 3584 3752 3808 3840 3920 4020 4080 4165 4288 4352 4480 4556 4690 4704 4760 4998 5360 5376 5440 5628 5695 5712 5880 6272 6432 6528 6566 6664 6720 6834 7035 7140 7504 7616 7680 7840 7973 8040 8160 8330 8576 8704 8960 9112 9380 9408 9520 9849 9996 10720 10752 10880 11256 11390 11424 11760 12495 12544 12864 13056 13132 13328 13440 13668 14070 14280 15008 15232 15680 15946 16080 16320 16415 16660 17085 17152 17920 18224 18760 18816 19040 19698 19992 21440 21760 22512 22780 22848 23520 23919 24990 25088 25728 26112 26264 26656 26880 27336 28140 28560 30016 30464 31360 31892 32160 32640 32830 33320 34170 34304 36448 37520 37632 38080 39396 39865 39984 42880 43520 45024 45560 45696 47040 47838 49245 49980 51456 52528 53312 53760 54672 55811 56280 57120 60032 60928 62720 63784 64320 65280 65660 66640 68340 72896 75040 75264 76160 78792 79730 79968 85760 90048 91120 91392 94080 95676 98490 99960 102912 105056 106624 109344 111622 112560 114240 119595 120064 125440 127568 128640 130560 131320 133280 136680 145792 150080 152320 157584 159460 159936 167433 171520 180096 182240 182784 188160 191352 196980 199920 210112 213248 218688 223244 225120 228480 239190 240128 255136 257280 262640 266560 273360 279055 291584 300160 304640 315168 318920 319872 334866 360192 364480 376320 382704 393960 399840 420224 426496 437376 446488 450240 456960 478380 510272 514560 525280 533120 546720 558110 583168 600320 630336 637840 639744 669732 720384 728960 765408 787920 799680 837165 840448 874752 892976 900480 913920 956760 1020544 1050560 1066240 1093440 1116220 1200640 1260672 1275680 1279488 1339464 1457920 1530816 1575840 1599360 1674330 1680896 1749504 1785952 1800960 1913520 2041088 2101120 2132480 2186880 2232440 2521344 2551360 2678928 2915840 3061632 3151680 3198720 3348660 3571904 3601920 3827040 4082176 4202240 4373760 4464880 5042688 5102720 5357856 6123264 6303360 6397440 6697320 7143808 7654080 8404480 8747520 8929760 10205440 10715712 12246528 12606720 13394640 14287616 15308160 17859520 20410880 21431424 25213440 26789280 28575232 30616320 35719040 42862848 53578560 61232640 71438080 85725696 107157120 142876160 214314240 428628480
- Sum of all divisors σ(n): 1712943936
- Sum of proper divisors (its aliquot sum) s(n): 1284315456
- 428628480 is an abundant number, because the sum of its proper divisors (1284315456) is greater than itself. Its abundance is 855686976
Bases of 428628480
- Binary: 110011000110001011010000000002
- Hexadecimal: 0x198C5A00
- Base-36: 736ZUO
Squares and roots of 428628480
- 428628480 squared (4286284802) is 183722373867110400
- 428628480 cubed (4286284803) is 78748641852651252744192000
-
The
square root of 428628480 is 20703.3446573253 -
The
cube root of 428628480 is 753.9808948059
Scales and comparisons
How big is 428628480?- 428,628,480 seconds is equal to 13 years, 32 weeks, 4 days, 23 hours, 28 minutes.
-
To count from 1 to 428,628,480 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 428628480 cubic inches would be around 62.8 feet tall.
Recreational maths with 428628480
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The information we have on file for 428628480 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!
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