28560458304 has 672 divisors, whose sum is σ = 105561993600. Its totient is φ = 7524679680.

The previous prime is 28560458261. The next prime is 28560458321. The reversal of 28560458304 is 40385406582.

28560458304 is a `hidden beast` number, since 2 + 8 + 5 + 60 + 4 + 583 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28560458304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65959272 + ... + 65959704.

It is an arithmetic number, because the mean of its divisors is an integer number (157086300).

Almost surely, 2^28560458304 is an apocalyptic number.

28560458304 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 28560458304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52780996800).

28560458304 is an abundant number, since it is smaller than the sum of its proper divisors (77001535296).

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

28560458304 is a wasteful number, since it uses less digits than its factorization.

28560458304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 28560458304 in words is "twenty-eight billion, five hundred sixty million, four hundred fifty-eight thousand, three hundred four".