325728 has 96 divisors (see below), whose sum is σ = 1058400. Its totient is φ = 96768.

The previous prime is 325723. The next prime is 325729. The reversal of 325728 is 827523.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 325728.

It is not an unprimeable number, because it can be changed into a prime (325723) by changing a digit.

325728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11218 + ... + 11246.

It is an arithmetic number, because the mean of its divisors is an integer number (11025).

2³²⁵⁷²⁸ 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 325728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529200).

325728 is an abundant number, since it is smaller than the sum of its proper divisors (732672).

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

325728 is a wasteful number, since it uses less digits than its factorization.

325728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 47 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 325728 is about 570.7258536285. The cubic root of 325728 is about 68.8047409749.

The spelling of 325728 in words is "three hundred twenty-five thousand, seven hundred twenty-eight".