628660400 has 60 divisors (see below), whose sum is σ = 1527413400. Its totient is φ = 248624640.

The previous prime is 628660393. The next prime is 628660411. The reversal of 628660400 is 4066826.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 26771 + ... + 44429.

It is an arithmetic number, because the mean of its divisors is an integer number (25456890).

Almost surely, 2^628660400 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 628660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763706700).

628660400 is an abundant number, since it is smaller than the sum of its proper divisors (898753000).

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

628660400 is a wasteful number, since it uses less digits than its factorization.

628660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17766 (or 17755 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 628660400 is about 25073.1011245119. The cubic root of 628660400 is about 856.6538443444.

The spelling of 628660400 in words is "six hundred twenty-eight million, six hundred sixty thousand, four hundred".