509828 has 12 divisors (see below), whose sum is σ = 973392. Its totient is φ = 231720.

The previous prime is 509801. The next prime is 509833. The reversal of 509828 is 828905.

It is a junction number, because it is equal to n+sod(n) for n = 509794 and 509803.

It is an unprimeable number.

509828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5750 + ... + 5837.

It is an arithmetic number, because the mean of its divisors is an integer number (81116).

2⁵⁰⁹⁸²⁸ is an apocalyptic number.

It is an amenable number.

509828 is a deficient number, since it is larger than the sum of its proper divisors (463564).

509828 is a wasteful number, since it uses less digits than its factorization.

509828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11602 (or 11600 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 509828 is about 714.0224086119. The cubic root of 509828 is about 79.8867146561.

Subtracting from 509828 its sum of digits (32), we obtain a square (509796 = 714²).

The spelling of 509828 in words is "five hundred nine thousand, eight hundred twenty-eight".