328992 has 48 divisors (see below), whose sum is σ = 907200. Its totient is φ = 104192.

The previous prime is 328981. The next prime is 329009. The reversal of 328992 is 299823.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2134 + ... + 2282.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2³²⁸⁹⁹² is an apocalyptic number.

328992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

328992 is an abundant number, since it is smaller than the sum of its proper divisors (578208).

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

328992 is a wasteful number, since it uses less digits than its factorization.

328992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

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

The square root of 328992 is about 573.5782422652. The cubic root of 328992 is about 69.0337998654.

The spelling of 328992 in words is "three hundred twenty-eight thousand, nine hundred ninety-two".