28632120432800 has 144 divisors (see below), whose sum is σ = 75814939767672. Its totient is φ = 10516244889600.

The previous prime is 28632120432781. The next prime is 28632120432847. The reversal of 28632120432800 is 823402123682.

It can be written as a sum of positive squares in 12 ways, for example, as 110838389776 + 28521282043024 = 332924^2 + 5340532^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25116827 + ... + 26232026.

Almost surely, 2^{28632120432800} is an apocalyptic number.

28632120432800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28632120432800 is an abundant number, since it is smaller than the sum of its proper divisors (47182819334872).

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

28632120432800 is a wasteful number, since it uses less digits than its factorization.

28632120432800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51348931 (or 51348918 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The spelling of 28632120432800 in words is "twenty-eight trillion, six hundred thirty-two billion, one hundred twenty million, four hundred thirty-two thousand, eight hundred".