28876516488960 has 576 divisors, whose sum is σ = 107596290816000. Its totient is φ = 6597524226048.

The previous prime is 28876516488943. The next prime is 28876516489003. The reversal of 28876516488960 is 6988461567882.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5870401381 + ... + 5870406299.

It is an arithmetic number, because the mean of its divisors is an integer number (186799116000).

Almost surely, 2^{28876516488960} is an apocalyptic number.

28876516488960 is a gapful number since it is divisible by the number (20) 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 28876516488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53798145408000).

28876516488960 is an abundant number, since it is smaller than the sum of its proper divisors (78719774327040).

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

28876516488960 is an equidigital number, since it uses as much as digits as its factorization.

28876516488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9421 (or 9393 counting only the distinct ones).

The product of its (nonzero) digits is 2229534720, while the sum is 78.

The spelling of 28876516488960 in words is "twenty-eight trillion, eight hundred seventy-six billion, five hundred sixteen million, four hundred eighty-eight thousand, nine hundred sixty".