328185932256 has 672 divisors, whose sum is σ = 1230991792128. Its totient is φ = 83745653760.

The previous prime is 328185932251. The next prime is 328185932281. The reversal of 328185932256 is 652239581823.

It is a happy number.

328185932256 is a `hidden beast` number, since 3 + 28 + 1 + 8 + 593 + 2 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×328185932256² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328185932251) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 65805795 + ... + 65810781.

It is an arithmetic number, because the mean of its divisors is an integer number (1831833024).

Almost surely, 2^328185932256 is an apocalyptic number.

328185932256 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 328185932256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615495896064).

328185932256 is an abundant number, since it is smaller than the sum of its proper divisors (902805859872).

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

328185932256 is a wasteful number, since it uses less digits than its factorization.

328185932256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5043 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 328185932256 in words is "three hundred twenty-eight billion, one hundred eighty-five million, nine hundred thirty-two thousand, two hundred fifty-six".