328928 has 24 divisors (see below), whose sum is σ = 682920. Its totient is φ = 155520.

The previous prime is 328921. The next prime is 328931. The reversal of 328928 is 829823.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3 + 2² + 9³ + 8³ + 2¹⁶ + 8⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 328894 and 328903.

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 328928.

It is not an unprimeable number, because it can be changed into a prime (328921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 338 + ... + 878.

It is an arithmetic number, because the mean of its divisors is an integer number (28455).

2³²⁸⁹²⁸ is an apocalyptic number.

328928 is a gapful number since it is divisible by the number (38) 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 328928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341460).

328928 is an abundant number, since it is smaller than the sum of its proper divisors (353992).

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

328928 is a wasteful number, since it uses less digits than its factorization.

328928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 562 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 328928 is about 573.5224494298. The cubic root of 328928 is about 69.0293231105.

The spelling of 328928 in words is "three hundred twenty-eight thousand, nine hundred twenty-eight".