509090023728 has 960 divisors, whose sum is σ = 1851241512960. Its totient is φ = 132587642880.

The previous prime is 509090023691. The next prime is 509090023733. The reversal of 509090023728 is 827320090905.

509090023728 is a `hidden beast` number, since 509 + 0 + 90 + 0 + 2 + 37 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1467118051 + ... + 1467118397.

It is an arithmetic number, because the mean of its divisors is an integer number (1928376576).

Almost surely, 2^509090023728 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 509090023728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925620756480).

509090023728 is an abundant number, since it is smaller than the sum of its proper divisors (1342151489232).

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

509090023728 is a wasteful number, since it uses less digits than its factorization.

509090023728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 509090023728 in words is "five hundred nine billion, ninety million, twenty-three thousand, seven hundred twenty-eight".