512728000 has 56 divisors (see below), whose sum is σ = 1269790704. Its totient is φ = 205088000.

The previous prime is 512727979. The next prime is 512728039. The reversal of 512728000 is 827215.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24046 + ... + 40045.

It is an arithmetic number, because the mean of its divisors is an integer number (22674834).

Almost surely, 2^512728000 is an apocalyptic number.

512728000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512728000 is an abundant number, since it is smaller than the sum of its proper divisors (757062704).

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

512728000 is an equidigital number, since it uses as much as digits as its factorization.

512728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64118 (or 64098 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 512728000 is about 22643.4979629915. The cubic root of 512728000 is about 800.3789870993.

The spelling of 512728000 in words is "five hundred twelve million, seven hundred twenty-eight thousand".