329728 has 48 divisors (see below), whose sum is σ = 786240. Its totient is φ = 135168.

The previous prime is 329723. The next prime is 329729. The reversal of 329728 is 827923.

Its product of digits (6048) is a multiple of the sum of its prime divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 329728.

It is not an unprimeable number, because it can be changed into a prime (329723) by changing a digit.

329728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14325 + ... + 14347.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2³²⁹⁷²⁸ 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 329728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

329728 is an abundant number, since it is smaller than the sum of its proper divisors (456512).

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

329728 is an equidigital number, since it uses as much as digits as its factorization.

329728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 32 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 329728 is about 574.2194702376. The cubic root of 329728 is about 69.0852408680.

The spelling of 329728 in words is "three hundred twenty-nine thousand, seven hundred twenty-eight".