328333824 has 480 divisors, whose sum is σ = 1251169920. Its totient is φ = 83607552.

The previous prime is 328333799. The next prime is 328333883. The reversal of 328333824 is 428333823.

It is a happy number.

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.

Its product of digits (82944) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11321842 + ... + 11321870.

It is an arithmetic number, because the mean of its divisors is an integer number (2606604).

Almost surely, 2^328333824 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 328333824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625584960).

328333824 is an abundant number, since it is smaller than the sum of its proper divisors (922836096).

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

328333824 is an equidigital number, since it uses as much as digits as its factorization.

328333824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 328333824 is about 18119.9841059533. The cubic root of 328333824 is about 689.8773316905.

Subtracting 328333824 from its reverse (428333823), we obtain a palindrome (99999999).

The spelling of 328333824 in words is "three hundred twenty-eight million, three hundred thirty-three thousand, eight hundred twenty-four".