628584 has 32 divisors (see below), whose sum is σ = 1715040. Its totient is φ = 190400.

The previous prime is 628583. The next prime is 628591. The reversal of 628584 is 485826.

628584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (628583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927 + ... + 1454.

It is an arithmetic number, because the mean of its divisors is an integer number (53595).

2⁶²⁸⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

628584 is an abundant number, since it is smaller than the sum of its proper divisors (1086456).

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

628584 is a wasteful number, since it uses less digits than its factorization.

628584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2397 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 628584 is about 792.8328953821. The cubic root of 628584 is about 85.6619140390.

It can be divided in two parts, 62 and 8584, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 628584 in words is "six hundred twenty-eight thousand, five hundred eighty-four".