329328 has 30 divisors (see below), whose sum is σ = 922064. Its totient is φ = 109728.

The previous prime is 329321. The next prime is 329333. The reversal of 329328 is 823923.

329328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329321) 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 5 ways as a sum of consecutive naturals, for example, 1000 + ... + 1287.

2³²⁹³²⁸ is an apocalyptic number.

It is an amenable number.

329328 is an abundant number, since it is smaller than the sum of its proper divisors (592736).

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

329328 is a wasteful number, since it uses less digits than its factorization.

329328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2292 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 329328 is about 573.8710656585. The cubic root of 329328 is about 69.0572933088.

It can be divided in two parts, 3293 and 28, that added together give a triangular number (3321 = T₈₁).

The spelling of 329328 in words is "three hundred twenty-nine thousand, three hundred twenty-eight".