507721728 has 96 divisors (see below), whose sum is σ = 1433512080. Its totient is φ = 159252480.

The previous prime is 507721723. The next prime is 507721729. The reversal of 507721728 is 827127705.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507721723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102018 + ... + 106878.

Almost surely, 2^507721728 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 507721728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716756040).

507721728 is an abundant number, since it is smaller than the sum of its proper divisors (925790352).

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

507721728 is a wasteful number, since it uses less digits than its factorization.

507721728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 507721728 is about 22532.6813317901. The cubic root of 507721728 is about 797.7654978946.

The spelling of 507721728 in words is "five hundred seven million, seven hundred twenty-one thousand, seven hundred twenty-eight".