28008887115664 has 480 divisors, whose sum is σ = 73933332547200. Its totient is φ = 10213106641920.

The previous prime is 28008887115653. The next prime is 28008887115743. The reversal of 28008887115664 is 46651178880082.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28008887115596 and 28008887115605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1210869379 + ... + 1210892509.

It is an arithmetic number, because the mean of its divisors is an integer number (154027776140).

Almost surely, 2^{28008887115664} 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 28008887115664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36966666273600).

28008887115664 is an abundant number, since it is smaller than the sum of its proper divisors (45924445431536).

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

28008887115664 is a wasteful number, since it uses less digits than its factorization.

28008887115664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23248 (or 23209 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 64.

The spelling of 28008887115664 in words is "twenty-eight trillion, eight billion, eight hundred eighty-seven million, one hundred fifteen thousand, six hundred sixty-four".