328128948 has 192 divisors, whose sum is σ = 1029611520. Its totient is φ = 88349184.

The previous prime is 328128929. The next prime is 328128953. The reversal of 328128948 is 849821823.

328128948 is a `hidden beast` number, since 328 + 1 + 289 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1964761 + ... + 1964927.

It is an arithmetic number, because the mean of its divisors is an integer number (5362560).

Almost surely, 2^328128948 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 328128948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514805760).

328128948 is an abundant number, since it is smaller than the sum of its proper divisors (701482572).

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

328128948 is a wasteful number, since it uses less digits than its factorization.

328128948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 328128948 is about 18114.3299075621. The cubic root of 328128948 is about 689.7338103655.

The spelling of 328128948 in words is "three hundred twenty-eight million, one hundred twenty-eight thousand, nine hundred forty-eight".