627328 has 48 divisors (see below), whose sum is σ = 1399950. Its totient is φ = 279552.

The previous prime is 627301. The next prime is 627329. The reversal of 627328 is 823726.

It can be written as a sum of positive squares in 3 ways, for example, as 322624 + 304704 = 568^2 + 552^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 627296 and 627305.

It is not an unprimeable number, because it can be changed into a prime (627329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21618 + ... + 21646.

2⁶²⁷³²⁸ 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 627328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699975).

627328 is an abundant number, since it is smaller than the sum of its proper divisors (772622).

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

627328 is a wasteful number, since it uses less digits than its factorization.

627328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 44 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 627328 is about 792.0404030098. The cubic root of 627328 is about 85.6048211102.

The spelling of 627328 in words is "six hundred twenty-seven thousand, three hundred twenty-eight".