628628 has 48 divisors (see below), whose sum is σ = 1486464. Its totient is φ = 224640.

The previous prime is 628591. The next prime is 628651. The reversal of 628628 is 826826.

It is a happy number.

628628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

Its product of digits (9216) is a multiple of the sum of its prime factors (192).

It is a junction number, because it is equal to n+sod(n) for n = 628594 and 628603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3926 + ... + 4082.

It is an arithmetic number, because the mean of its divisors is an integer number (30968).

2⁶²⁸⁶²⁸ 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 628628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743232).

628628 is an abundant number, since it is smaller than the sum of its proper divisors (857836).

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

628628 is a wasteful number, since it uses less digits than its factorization.

628628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 628628 is about 792.8606434929. The cubic root of 628628 is about 85.6639127304.

The spelling of 628628 in words is "six hundred twenty-eight thousand, six hundred twenty-eight".