328019328 has 384 divisors, whose sum is σ = 1220940000. Its totient is φ = 85929984.

The previous prime is 328019327. The next prime is 328019411. The reversal of 328019328 is 823910823.

It is a happy number.

328019328 is a `hidden beast` number, since 328 + 0 + 1 + 9 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 328019292 and 328019301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328019323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2201398 + ... + 2201546.

Almost surely, 2^328019328 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 328019328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610470000).

328019328 is an abundant number, since it is smaller than the sum of its proper divisors (892920672).

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

328019328 is a wasteful number, since it uses less digits than its factorization.

328019328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 328019328 is about 18111.3038735481. The cubic root of 328019328 is about 689.6569939777.

The spelling of 328019328 in words is "three hundred twenty-eight million, nineteen thousand, three hundred twenty-eight".