628062800 has 120 divisors (see below), whose sum is σ = 1550569656. Its totient is φ = 244408320.

The previous prime is 628062793. The next prime is 628062823. The reversal of 628062800 is 8260826.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 179131456 + 448931344 = 13384^2 + 21188^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4000322 + ... + 4000478.

Almost surely, 2^628062800 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 628062800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775284828).

628062800 is an abundant number, since it is smaller than the sum of its proper divisors (922506856).

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

628062800 is a wasteful number, since it uses less digits than its factorization.

628062800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 628062800 is about 25061.1811373686. The cubic root of 628062800 is about 856.3823153188.

The spelling of 628062800 in words is "six hundred twenty-eight million, sixty-two thousand, eight hundred".