328683121920 has 504 divisors, whose sum is σ = 1242601970400. Its totient is φ = 83031257088.

The previous prime is 328683121873. The next prime is 328683121933. The reversal of 328683121920 is 29121386823.

328683121920 is a `hidden beast` number, since 328 + 6 + 8 + 312 + 1 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17720011 + ... + 17738549.

It is an arithmetic number, because the mean of its divisors is an integer number (2465480100).

Almost surely, 2^328683121920 is an apocalyptic number.

328683121920 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 328683121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621300985200).

328683121920 is an abundant number, since it is smaller than the sum of its proper divisors (913918848480).

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

328683121920 is an equidigital number, since it uses as much as digits as its factorization.

328683121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18597 (or 18568 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 328683121920 in words is "three hundred twenty-eight billion, six hundred eighty-three million, one hundred twenty-one thousand, nine hundred twenty".