628065900 has 720 divisors, whose sum is σ = 2722325760. Its totient is φ = 121305600.

The previous prime is 628065883. The next prime is 628065917. The reversal of 628065900 is 9560826.

628065900 is a `hidden beast` number, since 62 + 8 + 0 + 6 + 590 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (628065883) and next prime (628065917).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11850274 + ... + 11850326.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2^628065900 is an apocalyptic number.

628065900 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 628065900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361162880).

628065900 is an abundant number, since it is smaller than the sum of its proper divisors (2094259860).

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

628065900 is a wasteful number, since it uses less digits than its factorization.

628065900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 628065900 is about 25061.2429859335. The cubic root of 628065900 is about 856.3837242973.

The spelling of 628065900 in words is "six hundred twenty-eight million, sixty-five thousand, nine hundred".