328224 has 48 divisors (see below), whose sum is σ = 931392. Its totient is φ = 100608.

The previous prime is 328213. The next prime is 328243. The reversal of 328224 is 422823.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 328224.

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 328224.

It is an unprimeable number.

328224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1117 + ... + 1379.

It is an arithmetic number, because the mean of its divisors is an integer number (19404).

2³²⁸²²⁴ 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 328224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465696).

328224 is an abundant number, since it is smaller than the sum of its proper divisors (603168).

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

328224 is a wasteful number, since it uses less digits than its factorization.

328224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 328224 is about 572.9083696369. The cubic root of 328224 is about 68.9800404357.

It can be divided in two parts, 32 and 8224, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 328224 in words is "three hundred twenty-eight thousand, two hundred twenty-four".