28031582880 has 432 divisors, whose sum is σ = 117826024680. Its totient is φ = 6030065664.

The previous prime is 28031582869. The next prime is 28031582939. The reversal of 28031582880 is 8828513082.

It can be written as a sum of positive squares in 4 ways, for example, as 20704907664 + 7326675216 = 143892^2 + 85596^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1187836 + ... + 1211204.

Almost surely, 2^28031582880 is an apocalyptic number.

28031582880 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 28031582880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58913012340).

28031582880 is an abundant number, since it is smaller than the sum of its proper divisors (89794441800).

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

28031582880 is a wasteful number, since it uses less digits than its factorization.

28031582880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23421 (or 23403 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 28031582880 in words is "twenty-eight billion, thirty-one million, five hundred eighty-two thousand, eight hundred eighty".