28563124424704 has 117 divisors (see below), whose sum is σ = 57707317264233. Its totient is φ = 14136022204416.

The previous prime is 28563124424687. The next prime is 28563124424761. The reversal of 28563124424704 is 40742442136582.

The square root of 28563124424704 is 5344448.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 503305113600 + 28059819311104 = 709440^2 + 5297152^2 .

It is a super-2 number, since 2×28563124424704² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38651047567 + ... + 38651048305.

Almost surely, 2^{28563124424704} is an apocalyptic number.

28563124424704 is the 5344448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28563124424704

28563124424704 is an abundant number, since it is smaller than the sum of its proper divisors (29144192839529).

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

28563124424704 is an frugal number, since it uses more digits than its factorization.

28563124424704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 52.

The spelling of 28563124424704 in words is "twenty-eight trillion, five hundred sixty-three billion, one hundred twenty-four million, four hundred twenty-four thousand, seven hundred four".