509028 has 36 divisors (see below), whose sum is σ = 1291248. Its totient is φ = 156000.

The previous prime is 509027. The next prime is 509053. The reversal of 509028 is 820905.

It is a junction number, because it is equal to n+sod(n) for n = 508989 and 509007.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509028.

It is not an unprimeable number, because it can be changed into a prime (509023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1903 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (35868).

2⁵⁰⁹⁰²⁸ 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 509028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645624).

509028 is an abundant number, since it is smaller than the sum of its proper divisors (782220).

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

509028 is a wasteful number, since it uses less digits than its factorization.

509028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 509028 is about 713.4619821686. The cubic root of 509028 is about 79.8449078580.

The spelling of 509028 in words is "five hundred nine thousand, twenty-eight".