28800805264 has 405 divisors, whose sum is σ = 77988635361. Its totient is φ = 10263939840.

The previous prime is 28800805259. The next prime is 28800805331. The reversal of 28800805264 is 46250800882.

The square root of 28800805264 is 169708.

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., 15102443664 + 13698361600 = 122892^2 + 117040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28800805264.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 993131202 + ... + 993131230.

Almost surely, 2^28800805264 is an apocalyptic number.

28800805264 is the 169708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28800805264

28800805264 is an abundant number, since it is smaller than the sum of its proper divisors (49187830097).

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

28800805264 is a wasteful number, since it uses less digits than its factorization.

28800805264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The spelling of 28800805264 in words is "twenty-eight billion, eight hundred million, eight hundred five thousand, two hundred sixty-four".