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28552797504 = 263271119311093
BaseRepresentation
bin11010100101111000…
…010001110101000000
32201200220010101202200
4122211320101311000
5431434004010004
621041133313200
72030364526410
oct324570216500
981626111680
1028552797504
1111122345410
12564a335800
1329005ca66a
14154c16a640
15b21a5d239
hex6a5e11d40

28552797504 has 672 divisors, whose sum is σ = 110972559360. Its totient is φ = 6793113600.

The previous prime is 28552797503. The next prime is 28552797529. The reversal of 28552797504 is 40579725582.

28552797504 is a `hidden beast` number, since 2 + 85 + 52 + 7 + 9 + 7 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28552797503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26122782 + ... + 26123874.

Almost surely, 228552797504 is an apocalyptic number.

28552797504 is a gapful number since it is divisible by the number (24) 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 28552797504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55486279680).

28552797504 is an abundant number, since it is smaller than the sum of its proper divisors (82419761856).

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

28552797504 is a wasteful number, since it uses less digits than its factorization.

28552797504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 28552797504 in words is "twenty-eight billion, five hundred fifty-two million, seven hundred ninety-seven thousand, five hundred four".