328854776938272 has 432 divisors, whose sum is σ = 1044046670546880. Its totient is φ = 97602725882880.

The previous prime is 328854776938253. The next prime is 328854776938273. The reversal of 328854776938272 is 272839677458823.

328854776938272 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 5 + 477 + 69 + 3 + 82 + 7 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 328854776938191 and 328854776938200.

It is not an unprimeable number, because it can be changed into a prime (328854776938273) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1104432229 + ... + 1104729947.

It is an arithmetic number, because the mean of its divisors is an integer number (2416774700340).

Almost surely, 2^{328854776938272} is an apocalyptic number.

328854776938272 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 328854776938272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522023335273440).

328854776938272 is an abundant number, since it is smaller than the sum of its proper divisors (715191893608608).

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

328854776938272 is a wasteful number, since it uses less digits than its factorization.

328854776938272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298117 (or 298075 counting only the distinct ones).

The product of its digits is 13655900160, while the sum is 81.

The spelling of 328854776938272 in words is "three hundred twenty-eight trillion, eight hundred fifty-four billion, seven hundred seventy-six million, nine hundred thirty-eight thousand, two hundred seventy-two".