328410432 has 168 divisors, whose sum is σ = 1099328256. Its totient is φ = 91782144.

The previous prime is 328410391. The next prime is 328410457. The reversal of 328410432 is 234014823.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 328410396 and 328410405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188638 + ... + 190370.

Almost surely, 2^328410432 is an apocalyptic number.

328410432 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 328410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549664128).

328410432 is an abundant number, since it is smaller than the sum of its proper divisors (770917824).

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

328410432 is a wasteful number, since it uses less digits than its factorization.

328410432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 328410432 is about 18122.0978918005. The cubic root of 328410432 is about 689.9309823847.

The spelling of 328410432 in words is "three hundred twenty-eight million, four hundred ten thousand, four hundred thirty-two".