507385728 has 128 divisors (see below), whose sum is σ = 1576512000. Its totient is φ = 160206336.

The previous prime is 507385717. The next prime is 507385729. The reversal of 507385728 is 827583705.

507385728 is a `hidden beast` number, since 5 + 0 + 73 + 8 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507385729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61801 + ... + 69527.

It is an arithmetic number, because the mean of its divisors is an integer number (12316500).

Almost surely, 2^507385728 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 507385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788256000).

507385728 is an abundant number, since it is smaller than the sum of its proper divisors (1069126272).

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

507385728 is a wasteful number, since it uses less digits than its factorization.

507385728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7769 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 507385728 is about 22525.2242608148. The cubic root of 507385728 is about 797.5894773542.

The spelling of 507385728 in words is "five hundred seven million, three hundred eighty-five thousand, seven hundred twenty-eight".