628144400 has 120 divisors (see below), whose sum is σ = 1641118920. Its totient is φ = 229662720.

The previous prime is 628144399. The next prime is 628144403. The reversal of 628144400 is 4441826.

It can be written as a sum of positive squares in 12 ways, for example, as 484528144 + 143616256 = 22012^2 + 11984^2 .

It is not an unprimeable number, because it can be changed into a prime (628144403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 587066 + ... + 588134.

It is an arithmetic number, because the mean of its divisors is an integer number (13675991).

Almost surely, 2^628144400 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 628144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820559460).

628144400 is an abundant number, since it is smaller than the sum of its proper divisors (1012974520).

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

628144400 is a wasteful number, since it uses less digits than its factorization.

628144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 628144400 is about 25062.8091003383. The cubic root of 628144400 is about 856.4194017221.

The spelling of 628144400 in words is "six hundred twenty-eight million, one hundred forty-four thousand, four hundred".