628964 has 18 divisors (see below), whose sum is σ = 1280790. Its totient is φ = 269472.

The previous prime is 628939. The next prime is 628973. The reversal of 628964 is 469826.

It can be written as a sum of positive squares in only one way, i.e., 550564 + 78400 = 742^2 + 280^2 .

It is an unprimeable number.

628964 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 5 ways as a sum of consecutive naturals, for example, 1409 + ... + 1800.

It is an arithmetic number, because the mean of its divisors is an integer number (71155).

2⁶²⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

628964 is an abundant number, since it is smaller than the sum of its proper divisors (651826).

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

628964 is a wasteful number, since it uses less digits than its factorization.

628964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3218 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 628964 is about 793.0725061430. The cubic root of 628964 is about 85.6791723901.

The spelling of 628964 in words is "six hundred twenty-eight thousand, nine hundred sixty-four".