328105344 has 128 divisors (see below), whose sum is σ = 1023264000. Its totient is φ = 91183104.

The previous prime is 328105291. The next prime is 328105409. The reversal of 328105344 is 443501823.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×328105344² = 215306233522716672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97807 + ... + 101105.

It is an arithmetic number, because the mean of its divisors is an integer number (7994250).

Almost surely, 2^328105344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511632000).

328105344 is an abundant number, since it is smaller than the sum of its proper divisors (695158656).

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

328105344 is a wasteful number, since it uses less digits than its factorization.

328105344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3360 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 328105344 is about 18113.6783674658. The cubic root of 328105344 is about 689.7172712708.

The spelling of 328105344 in words is "three hundred twenty-eight million, one hundred five thousand, three hundred forty-four".