628968 has 32 divisors (see below), whose sum is σ = 1598400. Its totient is φ = 206208.

The previous prime is 628939. The next prime is 628973. The reversal of 628968 is 869826.

It is an unprimeable number.

628968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1573 + ... + 1931.

It is an arithmetic number, because the mean of its divisors is an integer number (49950).

2⁶²⁸⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

628968 is an abundant number, since it is smaller than the sum of its proper divisors (969432).

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

628968 is a wasteful number, since it uses less digits than its factorization.

628968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 628968 is about 793.0750279765. The cubic root of 628968 is about 85.6793540200.

It can be divided in two parts, 628 and 968, that added together give a triangular number (1596 = T₅₆).

The spelling of 628968 in words is "six hundred twenty-eight thousand, nine hundred sixty-eight".