328832219676384 has 576 divisors, whose sum is σ = 1054753162444800. Its totient is φ = 96685208395776.

The previous prime is 328832219676379. The next prime is 328832219676557. The reversal of 328832219676384 is 483676912238823.

328832219676384 is a `hidden beast` number, since 3 + 2 + 88 + 322 + 1 + 96 + 7 + 63 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 846942652 + ... + 847330820.

It is an arithmetic number, because the mean of its divisors is an integer number (1831168684800).

Almost surely, 2^{328832219676384} 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 328832219676384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527376581222400).

328832219676384 is an abundant number, since it is smaller than the sum of its proper divisors (725920942768416).

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

328832219676384 is a wasteful number, since it uses less digits than its factorization.

328832219676384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388407 (or 388396 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 328832219676384 in words is "three hundred twenty-eight trillion, eight hundred thirty-two billion, two hundred nineteen million, six hundred seventy-six thousand, three hundred eighty-four".