624928 has 24 divisors (see below), whose sum is σ = 1254960. Its totient is φ = 306240.

The previous prime is 624917. The next prime is 624961. The reversal of 624928 is 829426.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 624928.

It is an unprimeable number.

624928 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 3 ways as a sum of consecutive naturals, for example, 1723 + ... + 2053.

It is an arithmetic number, because the mean of its divisors is an integer number (52290).

2⁶²⁴⁹²⁸ 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 624928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627480).

624928 is an abundant number, since it is smaller than the sum of its proper divisors (630032).

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

624928 is a wasteful number, since it uses less digits than its factorization.

624928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 624928 is about 790.5238769323. The cubic root of 624928 is about 85.4955140539.

It can be divided in two parts, 62492 and 8, that added together give a square (62500 = 250²).

The spelling of 624928 in words is "six hundred twenty-four thousand, nine hundred twenty-eight".