28253643264 has 960 divisors, whose sum is σ = 111459532800. Its totient is φ = 6897623040.

The previous prime is 28253643247. The next prime is 28253643307. The reversal of 28253643264 is 46234635282.

28253643264 is a `hidden beast` number, since 2 + 8 + 25 + 364 + 3 + 264 = 666.

It is a congruent number.

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, 222469569 + ... + 222469695.

It is an arithmetic number, because the mean of its divisors is an integer number (116103680).

Almost surely, 2^28253643264 is an apocalyptic number.

28253643264 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 28253643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55729766400).

28253643264 is an abundant number, since it is smaller than the sum of its proper divisors (83205889536).

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

28253643264 is a wasteful number, since it uses less digits than its factorization.

28253643264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 169 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 28253643264 in words is "twenty-eight billion, two hundred fifty-three million, six hundred forty-three thousand, two hundred sixty-four".