328724928 has 252 divisors, whose sum is σ = 1155633960. Its totient is φ = 88833024.

The previous prime is 328724927. The next prime is 328724951. The reversal of 328724928 is 829427823.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328724927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535950 + ... + 536562.

Almost surely, 2^328724928 is an apocalyptic number.

328724928 is a gapful number since it is divisible by the number (38) 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 328724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577816980).

328724928 is an abundant number, since it is smaller than the sum of its proper divisors (826909032).

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

328724928 is a wasteful number, since it uses less digits than its factorization.

328724928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 644 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 328724928 is about 18130.7729564958. The cubic root of 328724928 is about 690.1511452129.

The spelling of 328724928 in words is "three hundred twenty-eight million, seven hundred twenty-four thousand, nine hundred twenty-eight".