628825408 has 56 divisors (see below), whose sum is σ = 1280160000. Its totient is φ = 306329088.

The previous prime is 628825391. The next prime is 628825409. The reversal of 628825408 is 804528826.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628825409) 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, 1049493 + ... + 1050091.

It is an arithmetic number, because the mean of its divisors is an integer number (22860000).

Almost surely, 2^628825408 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 628825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640080000).

628825408 is an abundant number, since it is smaller than the sum of its proper divisors (651334592).

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

628825408 is a wasteful number, since it uses less digits than its factorization.

628825408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The square root of 628825408 is about 25076.3914469367. The cubic root of 628825408 is about 856.7287880246.

The spelling of 628825408 in words is "six hundred twenty-eight million, eight hundred twenty-five thousand, four hundred eight".