165028864 has 264 divisors, whose sum is σ = 470449728. Its totient is φ = 56770560.

The previous prime is 165028819. The next prime is 165028907. The reversal of 165028864 is 468820561.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7175157 + ... + 7175179.

Almost surely, 2^165028864 is an apocalyptic number.

165028864 is a gapful number since it is divisible by the number (14) 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 165028864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235224864).

165028864 is an abundant number, since it is smaller than the sum of its proper divisors (305420864).

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

165028864 is a wasteful number, since it uses less digits than its factorization.

165028864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 165028864 is about 12846.3560592099. The cubic root of 165028864 is about 548.5126358949.

The spelling of 165028864 in words is "one hundred sixty-five million, twenty-eight thousand, eight hundred sixty-four".