328224983328 has 630 divisors, whose sum is σ = 1101211375635. Its totient is φ = 96253660800.

The previous prime is 328224983309. The next prime is 328224983351. The reversal of 328224983328 is 823389422823.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

328224983328 is a `hidden beast` number, since 3 + 2 + 8 + 224 + 98 + 3 + 328 = 666.

It can be written as a sum of positive squares in only one way, i.e., 164112491664 + 164112491664 = 405108^2 + 405108^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=405108.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 10587902673 + ... + 10587902703.

Almost surely, 2^328224983328 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 328224983328

328224983328 is an abundant number, since it is smaller than the sum of its proper divisors (772986392307).

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

328224983328 is an frugal number, since it uses more digits than its factorization.

328224983328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 47 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 328224983328 in words is "three hundred twenty-eight billion, two hundred twenty-four million, nine hundred eighty-three thousand, three hundred twenty-eight".