328824 has 24 divisors (see below), whose sum is σ = 890760. Its totient is φ = 109584.

The previous prime is 328813. The next prime is 328829. The reversal of 328824 is 428823.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328829) by changing a digit.

328824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2212 + ... + 2355.

It is an arithmetic number, because the mean of its divisors is an integer number (37115).

2³²⁸⁸²⁴ is an apocalyptic number.

It is an amenable number.

328824 is an abundant number, since it is smaller than the sum of its proper divisors (561936).

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

328824 is a wasteful number, since it uses less digits than its factorization.

328824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4572 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 328824 is about 573.4317744946. The cubic root of 328824 is about 69.0220471450.

Subtracting 328824 from its reverse (428823), we obtain a palindrome (99999).

The spelling of 328824 in words is "three hundred twenty-eight thousand, eight hundred twenty-four".