628800 has 84 divisors (see below), whose sum is σ = 2078736. Its totient is φ = 166400.

The previous prime is 628799. The next prime is 628801. The reversal of 628800 is 8826.

It is an interprime number because it is at equal distance from previous prime (628799) and next prime (628801).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (628801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4735 + ... + 4865.

2⁶²⁸⁸⁰⁰ is an apocalyptic number.

628800 is a gapful number since it is divisible by the number (60) 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 628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039368).

628800 is an abundant number, since it is smaller than the sum of its proper divisors (1449936).

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

628800 is a wasteful number, since it uses less digits than its factorization.

628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 628800 is about 792.9691040640. The cubic root of 628800 is about 85.6717249020.

The spelling of 628800 in words is "six hundred twenty-eight thousand, eight hundred".