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28696187520 = 2734572111379
BaseRepresentation
bin11010101110011011…
…010001001010000000
32202001212221100220000
4122232123101022000
5432232211000040
621103254520000
72034055366200
oct325633211200
982055840800
1028696187520
1111196282460
12568a366000
132924223a20
141563214400
15b2e434130
hex6ae6d1280

28696187520 has 1920 divisors, whose sum is σ = 141824390400. Its totient is φ = 5434490880.

The previous prime is 28696187501. The next prime is 28696187537. The reversal of 28696187520 is 2578169682.

28696187520 is a `hidden beast` number, since 28 + 6 + 96 + 1 + 8 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 363242841 + ... + 363242919.

It is an arithmetic number, because the mean of its divisors is an integer number (73866870).

Almost surely, 228696187520 is an apocalyptic number.

28696187520 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 28696187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70912195200).

28696187520 is an abundant number, since it is smaller than the sum of its proper divisors (113128202880).

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

28696187520 is a wasteful number, since it uses less digits than its factorization.

28696187520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 28696187520 in words is "twenty-eight billion, six hundred ninety-six million, one hundred eighty-seven thousand, five hundred twenty".