328825728
328,825,728 is an even composite number composed of five prime numbers multiplied together.
328825728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 328825728:
27 × 32 × 7 × 112 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 337)See below for interesting mathematical facts about the number 328825728 from the Numbermatics database.
Names of 328825728
- Cardinal: 328825728 can be written as Three hundred twenty-eight million, eight hundred twenty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 3.28825728 × 108
Factors of 328825728
Divisors of 328825728
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 64 66 72 77 84 88 96 99 112 121 126 128 132 144 154 168 176 192 198 224 231 242 252 264 288 308 336 337 352 363 384 396 448 462 484 504 528 576 616 672 674 693 704 726 792 847 896 924 968 1008 1011 1056 1089 1152 1232 1344 1348 1386 1408 1452 1584 1694 1848 1936 2016 2022 2112 2178 2359 2464 2541 2688 2696 2772 2904 3033 3168 3388 3696 3707 3872 4032 4044 4224 4356 4718 4928 5082 5392 5544 5808 6066 6336 6776 7077 7392 7414 7623 7744 8064 8088 8712 9436 9856 10164 10784 11088 11121 11616 12132 12672 13552 14154 14784 14828 15246 15488 16176 17424 18872 20328 21231 21568 22176 22242 23232 24264 25949 27104 28308 29568 29656 30492 32352 33363 34848 37744 40656 40777 42462 43136 44352 44484 46464 48528 51898 54208 56616 59312 60984 64704 66726 69696 75488 77847 81312 81554 84924 88704 88968 97056 103796 108416 113232 118624 121968 122331 129408 133452 139392 150976 155694 162624 163108 169848 177936 194112 207592 226464 233541 237248 243936 244662 266904 285439 301952 311388 325248 326216 339696 355872 366993 388224 415184 452928 467082 474496 487872 489324 533808 570878 622776 652432 679392 711744 733986 830368 856317 905856 934164 975744 978648 1067616 1141756 1245552 1304864 1358784 1423488 1467972 1660736 1712634 1868328 1957296 2135232 2283512 2491104 2568951 2609728 2717568 2935944 3321472 3425268 3736656 3914592 4270464 4567024 4982208 5137902 5219456 5871888 6850536 7473312 7829184 9134048 9964416 10275804 11743776 13701072 14946624 15658368 18268096 20551608 23487552 27402144 29893248 36536192 41103216 46975104 54804288 82206432 109608576 164412864 328825728
- Sum of all divisors σ(n): 1192180080
- Sum of proper divisors (its aliquot sum) s(n): 863354352
- 328825728 is an abundant number, because the sum of its proper divisors (863354352) is greater than itself. Its abundance is 534528624
Bases of 328825728
- Binary: 100111001100101111011100000002
- Hexadecimal: 0x13997B80
- Base-36: 5FRVK0
Squares and roots of 328825728
- 328825728 squared (3288257282) is 108126359394729984
- 328825728 cubed (3288257283) is 35554728843961726352228352
-
The
square root of 328825728 is 18133.5525476945 -
The
cube root of 328825728 is 690.2216805045
Scales and comparisons
How big is 328825728?- 328,825,728 seconds is equal to 10 years, 23 weeks, 4 days, 20 hours, 28 minutes, 48 seconds.
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To count from 1 to 328,825,728 would take you about fifteen 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 328825728 cubic inches would be around 57.5 feet tall.
Recreational maths with 328825728
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The information we have on file for 328825728 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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