328813440 has 128 divisors (see below), whose sum is σ = 1073913120. Its totient is φ = 85524480.

The previous prime is 328813427. The next prime is 328813447. The reversal of 328813440 is 44318823.

328813440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328813447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76632 + ... + 80808.

Almost surely, 2^328813440 is an apocalyptic number.

328813440 is a gapful number since it is divisible by the number (30) 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 328813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536956560).

328813440 is an abundant number, since it is smaller than the sum of its proper divisors (745099680).

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

328813440 is a wasteful number, since it uses less digits than its factorization.

328813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 328813440 is about 18133.2137250957. The cubic root of 328813440 is about 690.2130826882.

The spelling of 328813440 in words is "three hundred twenty-eight million, eight hundred thirteen thousand, four hundred forty".