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28863682560 = 211345172389
BaseRepresentation
bin11010111000011010…
…001101100000000000
32202111120002222220000
4122320122031200000
5433103100320220
621132040520000
72041161153006
oct327032154000
982446088800
1028863682560
1111271883a09
125716480000
13294cb39b0b
14157b574a76
15b3debc390
hex6b868d800

28863682560 has 960 divisors, whose sum is σ = 115589073600. Its totient is φ = 6851395584.

The previous prime is 28863682511. The next prime is 28863682613. The reversal of 28863682560 is 6528636882.

28863682560 is a `hidden beast` number, since 28 + 8 + 6 + 368 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×288636825602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28863682497 and 28863682506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 324310996 + ... + 324311084.

It is an arithmetic number, because the mean of its divisors is an integer number (120405285).

Almost surely, 228863682560 is an apocalyptic number.

28863682560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28863682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57794536800).

28863682560 is an abundant number, since it is smaller than the sum of its proper divisors (86725391040).

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

28863682560 is a wasteful number, since it uses less digits than its factorization.

28863682560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 28863682560 in words is "twenty-eight billion, eight hundred sixty-three million, six hundred eighty-two thousand, five hundred sixty".