28531310800 has 120 divisors (see below), whose sum is σ = 72660110616. Its totient is φ = 10729144320.

The previous prime is 28531310777. The next prime is 28531310809. The reversal of 28531310800 is 801313582.

It can be written as a sum of positive squares in 12 ways, for example, as 223921296 + 28307389504 = 14964^2 + 168248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28531310809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8110642 + ... + 8114158.

Almost surely, 2^28531310800 is an apocalyptic number.

28531310800 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 28531310800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36330055308).

28531310800 is an abundant number, since it is smaller than the sum of its proper divisors (44128799816).

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

28531310800 is a wasteful number, since it uses less digits than its factorization.

28531310800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4745 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 28531310800 in words is "twenty-eight billion, five hundred thirty-one million, three hundred ten thousand, eight hundred".