328053841920 has 672 divisors, whose sum is σ = 1368245249280. Its totient is φ = 71026606080.

The previous prime is 328053841879. The next prime is 328053842027. The reversal of 328053841920 is 29148350823.

328053841920 is a `hidden beast` number, since 3 + 2 + 80 + 5 + 384 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 47 ways as a sum of consecutive naturals, for example, 49025775 + ... + 49032465.

It is an arithmetic number, because the mean of its divisors is an integer number (2036079240).

Almost surely, 2^328053841920 is an apocalyptic number.

328053841920 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 328053841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684122624640).

328053841920 is an abundant number, since it is smaller than the sum of its proper divisors (1040191407360).

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

328053841920 is a wasteful number, since it uses less digits than its factorization.

328053841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 328053841920 in words is "three hundred twenty-eight billion, fifty-three million, eight hundred forty-one thousand, nine hundred twenty".