329336928 has 144 divisors (see below), whose sum is σ = 995890896. Its totient is φ = 106997760.

The previous prime is 329336927. The next prime is 329336939. The reversal of 329336928 is 829633923.

It is a tau number, because it is divible by the number of its divisors (144).

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 (329336923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318300 + ... + 319332.

It is an arithmetic number, because the mean of its divisors is an integer number (6915909).

Almost surely, 2^329336928 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 329336928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497945448).

329336928 is an abundant number, since it is smaller than the sum of its proper divisors (666553968).

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

329336928 is a wasteful number, since it uses less digits than its factorization.

329336928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1079 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 329336928 is about 18147.6424915194. The cubic root of 329336928 is about 690.5791734517.

The spelling of 329336928 in words is "three hundred twenty-nine million, three hundred thirty-six thousand, nine hundred twenty-eight".