628884 has 36 divisors (see below), whose sum is σ = 1651104. Its totient is φ = 209304.

The previous prime is 628877. The next prime is 628909. The reversal of 628884 is 488826.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×628884³ = 746161593965733312, which contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

628884 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 11 ways as a sum of consecutive naturals, for example, 649 + ... + 1295.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

2⁶²⁸⁸⁸⁴ 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 628884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552).

628884 is an abundant number, since it is smaller than the sum of its proper divisors (1022220).

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

628884 is a wasteful number, since it uses less digits than its factorization.

628884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 652 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 628884 is about 793.0220677888. The cubic root of 628884 is about 85.6755396308.

The spelling of 628884 in words is "six hundred twenty-eight thousand, eight hundred eighty-four".