28686536920624 has 160 divisors (see below), whose sum is σ = 65175008818176. Its totient is φ = 12085944668160.

The previous prime is 28686536920589. The next prime is 28686536920633. The reversal of 28686536920624 is 42602963568682.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a self number, because there is not a number n which added to its sum of digits gives 28686536920624.

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 31 ways as a sum of consecutive naturals, for example, 852556569 + ... + 852590215.

Almost surely, 2^{28686536920624} 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 28686536920624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32587504409088).

28686536920624 is an abundant number, since it is smaller than the sum of its proper divisors (36488471897552).

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

28686536920624 is a wasteful number, since it uses less digits than its factorization.

28686536920624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38003 (or 37997 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 67.

The spelling of 28686536920624 in words is "twenty-eight trillion, six hundred eighty-six billion, five hundred thirty-six million, nine hundred twenty thousand, six hundred twenty-four".