628238000 has 160 divisors (see below), whose sum is σ = 1663351872. Its totient is φ = 228096000.

The previous prime is 628237943. The next prime is 628238003. The reversal of 628238000 is 832826.

It is not an unprimeable number, because it can be changed into a prime (628238003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1897835 + ... + 1898165.

Almost surely, 2^628238000 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 628238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831675936).

628238000 is an abundant number, since it is smaller than the sum of its proper divisors (1035113872).

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

628238000 is a wasteful number, since it uses less digits than its factorization.

628238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 628238000 is about 25064.6763394224. The cubic root of 628238000 is about 856.4619380533.

The spelling of 628238000 in words is "six hundred twenty-eight million, two hundred thirty-eight thousand".