328328 has 64 divisors (see below), whose sum is σ = 846720. Its totient is φ = 115200.

The previous prime is 328327. The next prime is 328331. The reversal of 328328 is 823823.

328328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 573²-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 328297 and 328306.

It is not an unprimeable number, because it can be changed into a prime (328327) 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 15 ways as a sum of consecutive naturals, for example, 7988 + ... + 8028.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2³²⁸³²⁸ 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 328328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

328328 is an abundant number, since it is smaller than the sum of its proper divisors (518392).

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

328328 is a wasteful number, since it uses less digits than its factorization.

328328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 74 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 328328 is about 572.9991273990. Note that the first 3 decimals coincide. The cubic root of 328328 is about 68.9873252641.

It can be divided in two parts, 328 and 328, that added together give a palindrome (656).

The spelling of 328328 in words is "three hundred twenty-eight thousand, three hundred twenty-eight".