328188161280 has 864 divisors, whose sum is σ = 1306230202368. Its totient is φ = 68710809600.

The previous prime is 328188161267. The next prime is 328188161363. The reversal of 328188161280 is 82161881823.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 300813535 + ... + 300814625.

It is an arithmetic number, because the mean of its divisors is an integer number (1511840512).

Almost surely, 2^328188161280 is an apocalyptic number.

328188161280 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 328188161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653115101184).

328188161280 is an abundant number, since it is smaller than the sum of its proper divisors (978042041088).

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

328188161280 is a wasteful number, since it uses less digits than its factorization.

328188161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The spelling of 328188161280 in words is "three hundred twenty-eight billion, one hundred eighty-eight million, one hundred sixty-one thousand, two hundred eighty".