328810944 has 224 divisors, whose sum is σ = 1132978176. Its totient is φ = 81607680.

The previous prime is 328810931. The next prime is 328810969. The reversal of 328810944 is 449018823.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×328810944² = 216233273788342272, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 339549 + ... + 340515.

Almost surely, 2^328810944 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 328810944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566489088).

328810944 is an abundant number, since it is smaller than the sum of its proper divisors (804167232).

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

328810944 is a wasteful number, since it uses less digits than its factorization.

328810944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 328810944 is about 18133.1449009817. The cubic root of 328810944 is about 690.2113362306.

The spelling of 328810944 in words is "three hundred twenty-eight million, eight hundred ten thousand, nine hundred forty-four".