628070400 has 432 divisors, whose sum is σ = 2376410400. Its totient is φ = 158269440.

The previous prime is 628070393. The next prime is 628070437. The reversal of 628070400 is 4070826.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13363177 + ... + 13363223.

It is an arithmetic number, because the mean of its divisors is an integer number (5500950).

Almost surely, 2^628070400 is an apocalyptic number.

628070400 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 628070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188205200).

628070400 is an abundant number, since it is smaller than the sum of its proper divisors (1748340000).

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

628070400 is a wasteful number, since it uses less digits than its factorization.

628070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 628070400 is about 25061.3327658367. The cubic root of 628070400 is about 856.3857695803.

The spelling of 628070400 in words is "six hundred twenty-eight million, seventy thousand, four hundred".