628880 has 40 divisors (see below), whose sum is σ = 1672512. Its totient is φ = 215424.

The previous prime is 628877. The next prime is 628909. The reversal of 628880 is 88826.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 2 + ... + 1121.

2⁶²⁸⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836256).

628880 is an abundant number, since it is smaller than the sum of its proper divisors (1043632).

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

628880 is a wasteful number, since it uses less digits than its factorization.

628880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 628880 is about 793.0195457869. The cubic root of 628880 is about 85.6753579848.

The spelling of 628880 in words is "six hundred twenty-eight thousand, eight hundred eighty".