165356928 has 96 divisors (see below), whose sum is σ = 519129000. Its totient is φ = 50104320.

The previous prime is 165356923. The next prime is 165356963. The reversal of 165356928 is 829653561.

165356928 is a `hidden beast` number, since 1 + 65 + 3 + 569 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165356923) 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, 6148 + ... + 19196.

Almost surely, 2^165356928 is an apocalyptic number.

165356928 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 165356928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259564500).

165356928 is an abundant number, since it is smaller than the sum of its proper divisors (353772072).

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

165356928 is a wasteful number, since it uses less digits than its factorization.

165356928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13080 (or 13065 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 165356928 is about 12859.1184767853. The cubic root of 165356928 is about 548.8758615278.

The spelling of 165356928 in words is "one hundred sixty-five million, three hundred fifty-six thousand, nine hundred twenty-eight".