628032000 has 160 divisors (see below), whose sum is σ = 2088687744. Its totient is φ = 167424000.

The previous prime is 628031993. The next prime is 628032019. The reversal of 628032000 is 230826.

It is a tau number, because it is divible by the number of its divisors (160).

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, 190365 + ... + 193635.

Almost surely, 2^628032000 is an apocalyptic number.

628032000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044343872).

628032000 is an abundant number, since it is smaller than the sum of its proper divisors (1460655744).

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

628032000 is an equidigital number, since it uses as much as digits as its factorization.

628032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 628032000 is about 25060.5666336577. The cubic root of 628032000 is about 856.3683161845.

Adding to 628032000 its reverse (230826), we get a palindrome (628262826).

The spelling of 628032000 in words is "six hundred twenty-eight million, thirty-two thousand".