507247728 has 80 divisors (see below), whose sum is σ = 1414388640. Its totient is φ = 155722752.

The previous prime is 507247711. The next prime is 507247759. The reversal of 507247728 is 827742705.

It is a super-2 number, since 2×507247728² = 514600515122323968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 507247728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456838 + ... + 457946.

It is an arithmetic number, because the mean of its divisors is an integer number (17679858).

Almost surely, 2^507247728 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 507247728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707194320).

507247728 is an abundant number, since it is smaller than the sum of its proper divisors (907140912).

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

507247728 is a wasteful number, since it uses less digits than its factorization.

507247728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 42.

The square root of 507247728 is about 22522.1608199569. The cubic root of 507247728 is about 797.5171606911.

The spelling of 507247728 in words is "five hundred seven million, two hundred forty-seven thousand, seven hundred twenty-eight".