628824 has 64 divisors (see below), whose sum is σ = 1900800. Its totient is φ = 169344.

The previous prime is 628819. The next prime is 628841. The reversal of 628824 is 428826.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 628791 and 628800.

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, 3094 + ... + 3290.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2⁶²⁸⁸²⁴ 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 628824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950400).

628824 is an abundant number, since it is smaller than the sum of its proper divisors (1271976).

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

628824 is a wasteful number, since it uses less digits than its factorization.

628824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 628824 is about 792.9842369177. The cubic root of 628824 is about 85.6728148592.

The spelling of 628824 in words is "six hundred twenty-eight thousand, eight hundred twenty-four".