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28005893272 = 23731101211757
BaseRepresentation
bin11010000101010010…
…000000010010011000
32200021210000210012101
4122011102000102120
5424324002041042
620510555253144
72011004110420
oct320522002230
980253023171
1028005893272
1110971662145
12551714a1b4
1328442022a6
1414d9685480
15adda2c6b7
hex685480498

28005893272 has 128 divisors (see below), whose sum is σ = 62941409280. Its totient is φ = 11430720000.

The previous prime is 28005893231. The next prime is 28005893273. The reversal of 28005893272 is 27239850082.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28005893273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36995518 + ... + 36996274.

It is an arithmetic number, because the mean of its divisors is an integer number (491729760).

Almost surely, 228005893272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28005893272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31470704640).

28005893272 is an abundant number, since it is smaller than the sum of its proper divisors (34935516008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28005893272 is a wasteful number, since it uses less digits than its factorization.

28005893272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 28005893272 in words is "twenty-eight billion, five million, eight hundred ninety-three thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 101 124 202 211 217 248 404 422 434 707 757 808 844 868 1414 1477 1514 1688 1736 2828 2954 3028 3131 5299 5656 5908 6056 6262 6541 10598 11816 12524 13082 21196 21311 21917 23467 25048 26164 42392 42622 43834 45787 46934 52328 76457 85244 87668 91574 93868 149177 152914 159727 164269 170488 175336 183148 187736 298354 305828 319454 328538 366296 535199 596708 611656 638908 657076 660641 1070398 1118089 1193416 1277816 1314152 1321282 2140796 2236178 2370167 2642564 4281592 4472356 4624487 4740334 4951537 5285128 8944712 9248974 9480668 9903074 16132427 16591169 18497948 18961336 19806148 32264854 33182338 34660759 36995896 39612296 64529708 66364676 69321518 112926989 129059416 132729352 138643036 225853978 277286072 451707956 500105237 903415912 1000210474 2000420948 3500736659 4000841896 7001473318 14002946636 28005893272