325128 has 64 divisors (see below), whose sum is σ = 921600. Its totient is φ = 95040.

The previous prime is 325093. The next prime is 325133. The reversal of 325128 is 821523.

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 325128.

It is an unprimeable number.

325128 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, 10473 + ... + 10503.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

325128 is a Friedman number, since it can be written as 3+5*(2^8-1)^2, using all its digits and the basic arithmetic operations.

2³²⁵¹²⁸ is an apocalyptic number.

325128 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 325128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460800).

325128 is an abundant number, since it is smaller than the sum of its proper divisors (596472).

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

325128 is a wasteful number, since it uses less digits than its factorization.

325128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 78 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 325128 is about 570.1999649246. The cubic root of 325128 is about 68.7624682621.

The spelling of 325128 in words is "three hundred twenty-five thousand, one hundred twenty-eight".