28564705697256 has 96 divisors (see below), whose sum is σ = 77816003166720. Its totient is φ = 9465817852800.

The previous prime is 28564705697251. The next prime is 28564705697261. The reversal of 28564705697256 is 65279650746582.

28564705697256 is a `hidden beast` number, since 2 + 8 + 5 + 6 + 4 + 7 + 0 + 569 + 7 + 2 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (28564705697251) and next prime (28564705697261).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (28564705697251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39033201 + ... + 39758271.

It is an arithmetic number, because the mean of its divisors is an integer number (810583366320).

Almost surely, 2^{28564705697256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28564705697256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38908001583360).

28564705697256 is an abundant number, since it is smaller than the sum of its proper divisors (49251297469464).

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

28564705697256 is a wasteful number, since it uses less digits than its factorization.

28564705697256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728287 (or 728280 counting only the distinct ones).

The product of its (nonzero) digits is 1524096000, while the sum is 72.

The spelling of 28564705697256 in words is "twenty-eight trillion, five hundred sixty-four billion, seven hundred five million, six hundred ninety-seven thousand, two hundred fifty-six".