328864 has 24 divisors (see below), whose sum is σ = 665280. Its totient is φ = 159936.

The previous prime is 328849. The next prime is 328883. The reversal of 328864 is 468823.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

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 3 ways as a sum of consecutive naturals, for example, 1257 + ... + 1495.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

328864 is a Friedman number, since it can be written as 3824*86, using all its digits and the basic arithmetic operations.

2³²⁸⁸⁶⁴ 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 328864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640).

328864 is an abundant number, since it is smaller than the sum of its proper divisors (336416).

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

328864 is a wasteful number, since it uses less digits than its factorization.

328864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 328864 is about 573.4666511664. The cubic root of 328864 is about 69.0248457748.

The spelling of 328864 in words is "three hundred twenty-eight thousand, eight hundred sixty-four".