2165833728 has 240 divisors, whose sum is σ = 6870263400. Its totient is φ = 679477248.

The previous prime is 2165833727. The next prime is 2165833741. The reversal of 2165833728 is 8273385612.

2165833728 is a `hidden beast` number, since 2 + 16 + 583 + 37 + 28 = 666.

Its product of digits (483840) is a multiple of the sum of its prime factors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2165833723) 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, 127401976 + ... + 127401992.

Almost surely, 2^2165833728 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 2165833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435131700).

2165833728 is an abundant number, since it is smaller than the sum of its proper divisors (4704429672).

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

2165833728 is an frugal number, since it uses more digits than its factorization.

2165833728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 22 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 2165833728 is about 46538.5187559725. The cubic root of 2165833728 is about 1293.8235073546.

The spelling of 2165833728 in words is "two billion, one hundred sixty-five million, eight hundred thirty-three thousand, seven hundred twenty-eight".