507796128 has 288 divisors, whose sum is σ = 1805207040. Its totient is φ = 137168640.

The previous prime is 507796099. The next prime is 507796141. The reversal of 507796128 is 821697705.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×507796128² = 515713815223584768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033963 + ... + 1034453.

It is an arithmetic number, because the mean of its divisors is an integer number (6268080).

Almost surely, 2^507796128 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 507796128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902603520).

507796128 is an abundant number, since it is smaller than the sum of its proper divisors (1297410912).

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

507796128 is a wasteful number, since it uses less digits than its factorization.

507796128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 507796128 is about 22534.3322066575. The cubic root of 507796128 is about 797.8044633691.

The spelling of 507796128 in words is "five hundred seven million, seven hundred ninety-six thousand, one hundred twenty-eight".