165782028 has 48 divisors (see below), whose sum is σ = 419126400. Its totient is φ = 50797824.

The previous prime is 165782027. The next prime is 165782033. The reversal of 165782028 is 820287561.

It is not an unprimeable number, because it can be changed into a prime (165782027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678 + ... + 18221.

It is an arithmetic number, because the mean of its divisors is an integer number (8731800).

Almost surely, 2^165782028 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 165782028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209563200).

165782028 is an abundant number, since it is smaller than the sum of its proper divisors (253344372).

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

165782028 is a wasteful number, since it uses less digits than its factorization.

165782028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18966 (or 18964 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 165782028 is about 12875.6369939510. The cubic root of 165782028 is about 549.3458095178.

The spelling of 165782028 in words is "one hundred sixty-five million, seven hundred eighty-two thousand, twenty-eight".