328827268915200 has 672 divisors, whose sum is σ = 1317886067214720. Its totient is φ = 79715686809600.

The previous prime is 328827268915169. The next prime is 328827268915207. The reversal of 328827268915200 is 2519862728823.

It is a happy number.

328827268915200 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 2 + 7 + 26 + 89 + 1 + 520 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328827268915207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58122567 + ... + 63528633.

Almost surely, 2^{328827268915200} is an apocalyptic number.

328827268915200 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 328827268915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658943033607360).

328827268915200 is an abundant number, since it is smaller than the sum of its proper divisors (989058798299520).

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

328827268915200 is a wasteful number, since it uses less digits than its factorization.

328827268915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5406123 (or 5406088 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 328827268915200 in words is "three hundred twenty-eight trillion, eight hundred twenty-seven billion, two hundred sixty-eight million, nine hundred fifteen thousand, two hundred".