328401642720 has 192 divisors, whose sum is σ = 1052399283264. Its totient is φ = 86064168960.

The previous prime is 328401642719. The next prime is 328401642763. The reversal of 328401642720 is 27246104823.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9829564 + ... + 9862916.

It is an arithmetic number, because the mean of its divisors is an integer number (5481246267).

Almost surely, 2^328401642720 is an apocalyptic number.

328401642720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328401642720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526199641632).

328401642720 is an abundant number, since it is smaller than the sum of its proper divisors (723997640544).

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

328401642720 is a wasteful number, since it uses less digits than its factorization.

328401642720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33725 (or 33717 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 328401642720 in words is "three hundred twenty-eight billion, four hundred one million, six hundred forty-two thousand, seven hundred twenty".