628401600 has 378 divisors, whose sum is σ = 2388310184. Its totient is φ = 156672000.

The previous prime is 628401577. The next prime is 628401707. The reversal of 628401600 is 6104826.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 4161525 + ... + 4161675.

Almost surely, 2^628401600 is an apocalyptic number.

628401600 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 628401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194155092).

628401600 is an abundant number, since it is smaller than the sum of its proper divisors (1759908584).

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

628401600 is a wasteful number, since it uses less digits than its factorization.

628401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 628401600 is about 25067.9396839868. The cubic root of 628401600 is about 856.5362755985.

The spelling of 628401600 in words is "six hundred twenty-eight million, four hundred one thousand, six hundred".