165457728 has 84 divisors (see below), whose sum is σ = 491865920. Its totient is φ = 55147392.

The previous prime is 165457703. The next prime is 165457729. The reversal of 165457728 is 827754561.

165457728 is a `hidden beast` number, since 1 + 6 + 54 + 577 + 28 = 666.

165457728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165457729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10233 + ... + 20871.

Almost surely, 2^165457728 is an apocalyptic number.

165457728 is a gapful number since it is divisible by the number (18) 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 165457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245932960).

165457728 is an abundant number, since it is smaller than the sum of its proper divisors (326408192).

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

165457728 is an equidigital number, since it uses as much as digits as its factorization.

165457728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10666 (or 10644 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 165457728 is about 12863.0372774085. The cubic root of 165457728 is about 548.9873686962.

The spelling of 165457728 in words is "one hundred sixty-five million, four hundred fifty-seven thousand, seven hundred twenty-eight".