328980 has 24 divisors (see below), whose sum is σ = 921312. Its totient is φ = 87712.

The previous prime is 328961. The next prime is 328981. The reversal of 328980 is 89823.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 328980.

It is not an unprimeable number, because it can be changed into a prime (328981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2682 + ... + 2801.

It is an arithmetic number, because the mean of its divisors is an integer number (38388).

2³²⁸⁹⁸⁰ is an apocalyptic number.

328980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328980 is an abundant number, since it is smaller than the sum of its proper divisors (592332).

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

328980 is a wasteful number, since it uses less digits than its factorization.

328980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5495 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 328980 is about 573.5677815219. The cubic root of 328980 is about 69.0329605181.

The spelling of 328980 in words is "three hundred twenty-eight thousand, nine hundred eighty".