328920 has 32 divisors (see below), whose sum is σ = 987120. Its totient is φ = 87680.

The previous prime is 328919. The next prime is 328921. The reversal of 328920 is 29823.

328920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (328919) and next prime (328921).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a zygodrome in base 9.

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 328920.

It is not an unprimeable number, because it can be changed into a prime (328921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1251 + ... + 1490.

2³²⁸⁹²⁰ is an apocalyptic number.

328920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328920 is an abundant number, since it is smaller than the sum of its proper divisors (658200).

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

328920 is a wasteful number, since it uses less digits than its factorization.

328920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 328920 is about 573.5154749438. The cubic root of 328920 is about 69.0287634753.

The spelling of 328920 in words is "three hundred twenty-eight thousand, nine hundred twenty".