18628800 has 84 divisors (see below), whose sum is σ = 61133736. Its totient is φ = 4966400.

The previous prime is 18628783. The next prime is 18628823. The reversal of 18628800 is 882681.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2860 + ... + 6740.

Almost surely, 2^18628800 is an apocalyptic number.

18628800 is a gapful number since it is divisible by the number (10) 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 18628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30566868).

18628800 is an abundant number, since it is smaller than the sum of its proper divisors (42504936).

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

18628800 is a wasteful number, since it uses less digits than its factorization.

18628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 18628800 is about 4316.1093591335. The cubic root of 18628800 is about 265.0909857264.

The spelling of 18628800 in words is "eighteen million, six hundred twenty-eight thousand, eight hundred".