4632628400 has 60 divisors (see below), whose sum is σ = 11264065512. Its totient is φ = 1830712320.

The previous prime is 4632628391. The next prime is 4632628411. The reversal of 4632628400 is 48262364.

It is a super-2 number, since 2×4632628400² = 42922491784973120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36569 + ... + 102968.

Almost surely, 2^4632628400 is an apocalyptic number.

4632628400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4632628400 is an abundant number, since it is smaller than the sum of its proper divisors (6631437112).

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

4632628400 is a wasteful number, since it uses less digits than its factorization.

4632628400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139638 (or 139627 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 4632628400 is about 68063.4145484929. The cubic root of 4632628400 is about 1667.0264414428.

The spelling of 4632628400 in words is "four billion, six hundred thirty-two million, six hundred twenty-eight thousand, four hundred".