628042800 has 360 divisors, whose sum is σ = 2555675712. Its totient is φ = 130368000.

The previous prime is 628042799. The next prime is 628042817. The reversal of 628042800 is 8240826.

It is a happy number.

628042800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 646315 + ... + 647285.

Almost surely, 2^628042800 is an apocalyptic number.

628042800 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 628042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277837856).

628042800 is an abundant number, since it is smaller than the sum of its proper divisors (1927632912).

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

628042800 is a wasteful number, since it uses less digits than its factorization.

628042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 628042800 is about 25060.7821107004. The cubic root of 628042800 is about 856.3732250240.

The spelling of 628042800 in words is "six hundred twenty-eight million, forty-two thousand, eight hundred".