328113632 has 192 divisors, whose sum is σ = 854945280. Its totient is φ = 120268800.

The previous prime is 328113613. The next prime is 328113659. The reversal of 328113632 is 236311823.

It is a junction number, because it is equal to n+sod(n) for n = 328113595 and 328113604.

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, 5378882 + ... + 5378942.

It is an arithmetic number, because the mean of its divisors is an integer number (4452840).

Almost surely, 2^328113632 is an apocalyptic number.

328113632 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 328113632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

328113632 is an abundant number, since it is smaller than the sum of its proper divisors (526831648).

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

328113632 is a wasteful number, since it uses less digits than its factorization.

328113632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 328113632 is about 18113.9071434078. The cubic root of 328113632 is about 689.7230786826.

The spelling of 328113632 in words is "three hundred twenty-eight million, one hundred thirteen thousand, six hundred thirty-two".