28852727904 has 768 divisors, whose sum is σ = 114788136960. Its totient is φ = 6808043520.

The previous prime is 28852727899. The next prime is 28852727921. The reversal of 28852727904 is 40972725882.

28852727904 is a `hidden beast` number, since 2 + 8 + 8 + 527 + 27 + 90 + 4 = 666.

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 127 ways as a sum of consecutive naturals, for example, 63134844 + ... + 63135300.

It is an arithmetic number, because the mean of its divisors is an integer number (149463720).

Almost surely, 2^28852727904 is an apocalyptic number.

28852727904 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 28852727904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57394068480).

28852727904 is an abundant number, since it is smaller than the sum of its proper divisors (85935409056).

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

28852727904 is a wasteful number, since it uses less digits than its factorization.

28852727904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 28852727904 in words is "twenty-eight billion, eight hundred fifty-two million, seven hundred twenty-seven thousand, nine hundred four".