165057328 has 40 divisors (see below), whose sum is σ = 333550080. Its totient is φ = 79027200.

The previous prime is 165057323. The next prime is 165057337. The reversal of 165057328 is 823750561.

It is not an unprimeable number, because it can be changed into a prime (165057323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57528 + ... + 60328.

It is an arithmetic number, because the mean of its divisors is an integer number (8338752).

Almost surely, 2^165057328 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 165057328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166775040).

165057328 is an abundant number, since it is smaller than the sum of its proper divisors (168492752).

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

165057328 is a wasteful number, since it uses less digits than its factorization.

165057328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2959 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 165057328 is about 12847.4638742438. The cubic root of 165057328 is about 548.5441697041.

The spelling of 165057328 in words is "one hundred sixty-five million, fifty-seven thousand, three hundred twenty-eight".