628164 has 18 divisors (see below), whose sum is σ = 1587950. Its totient is φ = 209376.

The previous prime is 628139. The next prime is 628171. The reversal of 628164 is 461826.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 900 = 792^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 628164.

It is an unprimeable number.

628164 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, 8689 + ... + 8760.

2⁶²⁸¹⁶⁴ is an apocalyptic number.

It is an amenable number.

628164 is an abundant number, since it is smaller than the sum of its proper divisors (959786).

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

628164 is a wasteful number, since it uses less digits than its factorization.

628164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17459 (or 17454 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 628164 is about 792.5679781571. The cubic root of 628164 is about 85.6428309252.

The spelling of 628164 in words is "six hundred twenty-eight thousand, one hundred sixty-four".