328128 has 28 divisors (see below), whose sum is σ = 868680. Its totient is φ = 109312.

The previous prime is 328127. The next prime is 328129. The reversal of 328128 is 821823.

It is an interprime number because it is at equal distance from previous prime (328127) and next prime (328129).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 328098 and 328107.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328128.

It is not an unprimeable number, because it can be changed into a prime (328121) 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 3 ways as a sum of consecutive naturals, for example, 663 + ... + 1046.

2³²⁸¹²⁸ is an apocalyptic number.

It is an amenable number.

328128 is an abundant number, since it is smaller than the sum of its proper divisors (540552).

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

328128 is a wasteful number, since it uses less digits than its factorization.

328128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1714 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 328128 is about 572.8245804782. The cubic root of 328128 is about 68.9733146126.

The spelling of 328128 in words is "three hundred twenty-eight thousand, one hundred twenty-eight".