328164428132352 has 728 divisors, whose sum is σ = 1160759385338880. Its totient is φ = 90736529080320.

The previous prime is 328164428132351. The next prime is 328164428132353. The reversal of 328164428132352 is 253231824461823.

328164428132352 is a `hidden beast` number, since 3 + 2 + 8 + 1 + 6 + 4 + 4 + 281 + 3 + 2 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (328164428132351) and next prime (328164428132353).

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

It is not an unprimeable number, because it can be changed into a prime (328164428132351) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 647705299 + ... + 648211757.

Almost surely, 2^{328164428132352} is an apocalyptic number.

328164428132352 is a gapful number since it is divisible by the number (32) 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 328164428132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580379692669440).

328164428132352 is an abundant number, since it is smaller than the sum of its proper divisors (832594957206528).

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

328164428132352 is an frugal number, since it uses more digits than its factorization.

328164428132352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506539 (or 506502 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 328164428132352 in words is "three hundred twenty-eight trillion, one hundred sixty-four billion, four hundred twenty-eight million, one hundred thirty-two thousand, three hundred fifty-two".