328509 has 16 divisors (see below), whose sum is σ = 508800. Its totient is φ = 209484.

The previous prime is 328481. The next prime is 328511. The reversal of 328509 is 905823.

The cubic root of 328509 is 69.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 328509 - 2⁷ = 328381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328509.

It is not an unprimeable number, because it can be changed into a prime (328519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14272 + ... + 14294.

It is an arithmetic number, because the mean of its divisors is an integer number (31800).

328509 is a Friedman number, since it can be written as (9*8-5+2+0)^3, using all its digits and the basic arithmetic operations.

2³²⁸⁵⁰⁹ is an apocalyptic number.

It is an amenable number.

328509 is a deficient number, since it is larger than the sum of its proper divisors (180291).

328509 is an frugal number, since it uses more digits than its factorization.

328509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 328509 is about 573.1570465413.

Multiplying 328509 by its sum of digits (27), we get a cube (8869743 = 207³).

328509 divided by its sum of digits (27) gives a cube (12167 = 23³).

The spelling of 328509 in words is "three hundred twenty-eight thousand, five hundred nine".