328400273376 has 192 divisors, whose sum is σ = 1099214645760. Its totient is φ = 93438904320.

The previous prime is 328400273323. The next prime is 328400273381. The reversal of 328400273376 is 673372004823.

328400273376 is a `hidden beast` number, since 3 + 2 + 8 + 4 + 0 + 0 + 273 + 376 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1344915 + ... + 1570221.

It is an arithmetic number, because the mean of its divisors is an integer number (5725076280).

Almost surely, 2^328400273376 is an apocalyptic number.

328400273376 is a gapful number since it is divisible by the number (36) 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 328400273376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549607322880).

328400273376 is an abundant number, since it is smaller than the sum of its proper divisors (770814372384).

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

328400273376 is a wasteful number, since it uses less digits than its factorization.

328400273376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225574 (or 225560 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 328400273376 in words is "three hundred twenty-eight billion, four hundred million, two hundred seventy-three thousand, three hundred seventy-six".