32165328 has 80 divisors (see below), whose sum is σ = 94230080. Its totient is φ = 9372672.

The previous prime is 32165327. The next prime is 32165389. The reversal of 32165328 is 82356123.

It is a junction number, because it is equal to n+sod(n) for n = 32165295 and 32165304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32165327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10500 + ... + 13212.

It is an arithmetic number, because the mean of its divisors is an integer number (1177876).

Almost surely, 2^32165328 is an apocalyptic number.

32165328 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 32165328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47115040).

32165328 is an abundant number, since it is smaller than the sum of its proper divisors (62064752).

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

32165328 is a wasteful number, since it uses less digits than its factorization.

32165328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2750 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 32165328 is about 5671.4484922284. The cubic root of 32165328 is about 318.0260253215.

The spelling of 32165328 in words is "thirty-two million, one hundred sixty-five thousand, three hundred twenty-eight".