628200900 has 288 divisors, whose sum is σ = 2137363200. Its totient is φ = 158054400.

The previous prime is 628200869. The next prime is 628200901. The reversal of 628200900 is 9002826.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (628200901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5559244 + ... + 5559356.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2^628200900 is an apocalyptic number.

628200900 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 628200900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068681600).

628200900 is an abundant number, since it is smaller than the sum of its proper divisors (1509162300).

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

628200900 is a wasteful number, since it uses less digits than its factorization.

628200900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 628200900 is about 25063.9362431363. The cubic root of 628200900 is about 856.4450785386.

The spelling of 628200900 in words is "six hundred twenty-eight million, two hundred thousand, nine hundred".