628441584 has 80 divisors (see below), whose sum is σ = 1732389120. Its totient is φ = 195619840.

The previous prime is 628441577. The next prime is 628441651. The reversal of 628441584 is 485144826.

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, 103957 + ... + 109835.

It is an arithmetic number, because the mean of its divisors is an integer number (21654864).

Almost surely, 2^628441584 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 628441584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866194560).

628441584 is an abundant number, since it is smaller than the sum of its proper divisors (1103947536).

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

628441584 is a wasteful number, since it uses less digits than its factorization.

628441584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6038 (or 6032 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 628441584 is about 25068.7371839907. The cubic root of 628441584 is about 856.5544418052.

The spelling of 628441584 in words is "six hundred twenty-eight million, four hundred forty-one thousand, five hundred eighty-four".