628604928 has 360 divisors, whose sum is σ = 2241262800. Its totient is φ = 173408256.

The previous prime is 628604897. The next prime is 628604929. The reversal of 628604928 is 829406826.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628604929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21676018 + ... + 21676046.

It is an arithmetic number, because the mean of its divisors is an integer number (6225730).

Almost surely, 2^628604928 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 628604928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120631400).

628604928 is an abundant number, since it is smaller than the sum of its proper divisors (1612657872).

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

628604928 is an equidigital number, since it uses as much as digits as its factorization.

628604928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 628604928 is about 25071.9948947027. The cubic root of 628604928 is about 856.6286470095.

The spelling of 628604928 in words is "six hundred twenty-eight million, six hundred four thousand, nine hundred twenty-eight".