328821953760 has 96 divisors (see below), whose sum is σ = 1150876853280. Its totient is φ = 87685853184.

The previous prime is 328821953743. The next prime is 328821953767. The reversal of 328821953760 is 67359128823.

328821953760 is a `hidden beast` number, since 3 + 2 + 8 + 82 + 195 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 328821953697 and 328821953706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328821953767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38053777 + ... + 38062416.

It is an arithmetic number, because the mean of its divisors is an integer number (11988300555).

Almost surely, 2^328821953760 is an apocalyptic number.

328821953760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328821953760 is an abundant number, since it is smaller than the sum of its proper divisors (822054899520).

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

328821953760 is a wasteful number, since it uses less digits than its factorization.

328821953760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76116217 (or 76116203 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 328821953760 in words is "three hundred twenty-eight billion, eight hundred twenty-one million, nine hundred fifty-three thousand, seven hundred sixty".