2807728144 has 45 divisors (see below), whose sum is σ = 5896408413. Its totient is φ = 1294602816.

The previous prime is 2807728141. The next prime is 2807728153. The reversal of 2807728144 is 4418277082.

The square root of 2807728144 is 52988.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 415344400 + 2392383744 = 20380^2 + 48912^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2807728144.

It is not an unprimeable number, because it can be changed into a prime (2807728141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2754867 + ... + 2755885.

Almost surely, 2^2807728144 is an apocalyptic number.

2807728144 is the 52988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2807728144

2807728144 is an abundant number, since it is smaller than the sum of its proper divisors (3088680269).

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

2807728144 is an equidigital number, since it uses as much as digits as its factorization.

2807728144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 43.

The cubic root of 2807728144 is about 1410.7552823566.

Multiplying 2807728144 by its product of nonzero digits (200704), we get a square (563522269413376 = 23738624²).

The spelling of 2807728144 in words is "two billion, eight hundred seven million, seven hundred twenty-eight thousand, one hundred forty-four".