329928 has 32 divisors (see below), whose sum is σ = 842400. Its totient is φ = 107648.

The previous prime is 329899. The next prime is 329941. The reversal of 329928 is 829923.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1300 + ... + 1532.

It is an arithmetic number, because the mean of its divisors is an integer number (26325).

2³²⁹⁹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421200).

329928 is an abundant number, since it is smaller than the sum of its proper divisors (512472).

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

329928 is a wasteful number, since it uses less digits than its factorization.

329928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 297 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 329928 is about 574.3935932790. The cubic root of 329928 is about 69.0992061722.

The spelling of 329928 in words is "three hundred twenty-nine thousand, nine hundred twenty-eight".