328896 has 42 divisors (see below), whose sum is σ = 944372. Its totient is φ = 109440.

The previous prime is 328891. The next prime is 328897. The reversal of 328896 is 698823.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (20736) is a multiple of the sum of its prime divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 328896.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328896.

It is not an unprimeable number, because it can be changed into a prime (328891) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 291 + ... + 861.

2³²⁸⁸⁹⁶ is an apocalyptic number.

328896 is a gapful number since it is divisible by the number (36) 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 328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472186).

328896 is an abundant number, since it is smaller than the sum of its proper divisors (615476).

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

328896 is a wasteful number, since it uses less digits than its factorization.

328896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 576 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 328896 is about 573.4945509767. The cubic root of 328896 is about 69.0270845152.

The spelling of 328896 in words is "three hundred twenty-eight thousand, eight hundred ninety-six".