328004352 has 216 divisors, whose sum is σ = 1044598464. Its totient is φ = 98353152.

The previous prime is 328004323. The next prime is 328004359. The reversal of 328004352 is 253400823.

It is not an unprimeable number, because it can be changed into a prime (328004359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1407628 + ... + 1407860.

It is an arithmetic number, because the mean of its divisors is an integer number (4836104).

Almost surely, 2^328004352 is an apocalyptic number.

328004352 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 328004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522299232).

328004352 is an abundant number, since it is smaller than the sum of its proper divisors (716594112).

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

328004352 is a wasteful number, since it uses less digits than its factorization.

328004352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 328004352 is about 18110.8904253767. The cubic root of 328004352 is about 689.6464981934.

The spelling of 328004352 in words is "three hundred twenty-eight million, four thousand, three hundred fifty-two".