2152807728 has 160 divisors (see below), whose sum is σ = 6010329600. Its totient is φ = 662323200.

The previous prime is 2152807697. The next prime is 2152807729. The reversal of 2152807728 is 8277082512.

It is a super-2 number, since 2×2152807728² = 9269162227473043968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2152807728.

It is not an unprimeable number, because it can be changed into a prime (2152807729) 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 31 ways as a sum of consecutive naturals, for example, 4794448 + ... + 4794896.

It is an arithmetic number, because the mean of its divisors is an integer number (37564560).

Almost surely, 2^2152807728 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 2152807728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005164800).

2152807728 is an abundant number, since it is smaller than the sum of its proper divisors (3857521872).

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

2152807728 is a wasteful number, since it uses less digits than its factorization.

2152807728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 2152807728 is about 46398.3591089168. The cubic root of 2152807728 is about 1291.2244704375.

The spelling of 2152807728 in words is "two billion, one hundred fifty-two million, eight hundred seven thousand, seven hundred twenty-eight".