975328 has 24 divisors (see below), whose sum is σ = 1988280. Its totient is φ = 470400.

The previous prime is 975323. The next prime is 975343. The reversal of 975328 is 823579.

975328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 975293 and 975302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975323) by changing a digit.

975328 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 3 ways as a sum of consecutive naturals, for example, 403 + ... + 1453.

It is an arithmetic number, because the mean of its divisors is an integer number (82845).

975328 is a Friedman number, since it can be written as 58*(9+7^(3+2)), using all its digits and the basic arithmetic operations.

2⁹⁷⁵³²⁸ 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 975328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994140).

975328 is an abundant number, since it is smaller than the sum of its proper divisors (1012952).

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

975328 is a wasteful number, since it uses less digits than its factorization.

975328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1082 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 975328 is about 987.5869581966. The cubic root of 975328 is about 99.1707423256.

The spelling of 975328 in words is "nine hundred seventy-five thousand, three hundred twenty-eight".