28317616128 has 144 divisors (see below), whose sum is σ = 84426451200. Its totient is φ = 9134530560.

The previous prime is 28317616099. The next prime is 28317616141. The reversal of 28317616128 is 82161671382.

28317616128 is a `hidden beast` number, since 2 + 8 + 3 + 1 + 7 + 616 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 546613 + ... + 596171.

It is an arithmetic number, because the mean of its divisors is an integer number (586294800).

Almost surely, 2^28317616128 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 28317616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42213225600).

28317616128 is an abundant number, since it is smaller than the sum of its proper divisors (56108835072).

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

28317616128 is a wasteful number, since it uses less digits than its factorization.

28317616128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49618 (or 49595 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 28317616128 in words is "twenty-eight billion, three hundred seventeen million, six hundred sixteen thousand, one hundred twenty-eight".