28168535028864 has 256 divisors, whose sum is σ = 76203040757760. Its totient is φ = 9217517568000.

The previous prime is 28168535028859. The next prime is 28168535028911. The reversal of 28168535028864 is 46882053586182.

It is a junction number, because it is equal to n+sod(n) for n = 28168535028795 and 28168535028804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7029829549 + ... + 7029833555.

It is an arithmetic number, because the mean of its divisors is an integer number (297668127960).

Almost surely, 2^{28168535028864} is an apocalyptic number.

28168535028864 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 28168535028864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38101520378880).

28168535028864 is an abundant number, since it is smaller than the sum of its proper divisors (48034505728896).

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

28168535028864 is a wasteful number, since it uses less digits than its factorization.

28168535028864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5139 (or 5127 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 66.

The spelling of 28168535028864 in words is "twenty-eight trillion, one hundred sixty-eight billion, five hundred thirty-five million, twenty-eight thousand, eight hundred sixty-four".