328825728 has 288 divisors, whose sum is σ = 1192180080. Its totient is φ = 85155840.

The previous prime is 328825681. The next prime is 328825741. The reversal of 328825728 is 827528823.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 975576 + ... + 975912.

Almost surely, 2^328825728 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 328825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596090040).

328825728 is an abundant number, since it is smaller than the sum of its proper divisors (863354352).

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

328825728 is a wasteful number, since it uses less digits than its factorization.

328825728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 360 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 328825728 is about 18133.5525476946. The cubic root of 328825728 is about 690.2216805046.

The spelling of 328825728 in words is "three hundred twenty-eight million, eight hundred twenty-five thousand, seven hundred twenty-eight".