328968 has 32 divisors (see below), whose sum is σ = 914400. Its totient is φ = 109584.

The previous prime is 328961. The next prime is 328981. The reversal of 328968 is 869823.

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.

It is not an unprimeable number, because it can be changed into a prime (328961) 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 7 ways as a sum of consecutive naturals, for example, 546 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (28575).

2³²⁸⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

328968 is an abundant number, since it is smaller than the sum of its proper divisors (585432).

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

328968 is a wasteful number, since it uses less digits than its factorization.

328968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1528 counting only the distinct ones).

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

The square root of 328968 is about 573.5573205879. The cubic root of 328968 is about 69.0321211504.

It can be divided in two parts, 328 and 968, that added together give a 4-th power (1296 = 6⁴).

The spelling of 328968 in words is "three hundred twenty-eight thousand, nine hundred sixty-eight".