509285728 has 96 divisors (see below), whose sum is σ = 1277337600. Its totient is φ = 194586624.

The previous prime is 509285683. The next prime is 509285731. The reversal of 509285728 is 827582905.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

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, 68833 + ... + 75871.

It is an arithmetic number, because the mean of its divisors is an integer number (13305600).

Almost surely, 2^509285728 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 509285728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638668800).

509285728 is an abundant number, since it is smaller than the sum of its proper divisors (768051872).

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

509285728 is a wasteful number, since it uses less digits than its factorization.

509285728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7092 (or 7084 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The square root of 509285728 is about 22567.3597924081. The cubic root of 509285728 is about 798.5838111574.

The spelling of 509285728 in words is "five hundred nine million, two hundred eighty-five thousand, seven hundred twenty-eight".