28857600675882 has 96 divisors (see below), whose sum is σ = 70002933751296. Its totient is φ = 8517687712800.

The previous prime is 28857600675863. The next prime is 28857600675941.

28857600675882 is a `hidden beast` number, since 2 + 8 + 8 + 5 + 7 + 600 + 6 + 7 + 5 + 8 + 8 + 2 = 666.

28857600675882 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×28857600675882² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28857600675882.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11199168 + ... + 13532795.

It is an arithmetic number, because the mean of its divisors is an integer number (729197226576).

Almost surely, 2^{28857600675882} is an apocalyptic number.

28857600675882 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

28857600675882 is an abundant number, since it is smaller than the sum of its proper divisors (41145333075414).

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

28857600675882 is a wasteful number, since it uses less digits than its factorization.

28857600675882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24732136 (or 24732133 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 72.

The spelling of 28857600675882 in words is "twenty-eight trillion, eight hundred fifty-seven billion, six hundred million, six hundred seventy-five thousand, eight hundred eighty-two".