2728835600 has 30 divisors (see below), whose sum is σ = 6556028490. Its totient is φ = 1091534080.

The previous prime is 2728835587. The next prime is 2728835623. The reversal of 2728835600 is 65388272.

It can be written as a sum of positive squares in 3 ways, for example, as 39790864 + 2689044736 = 6308^2 + 51856^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3410645 + ... + 3411444.

It is an arithmetic number, because the mean of its divisors is an integer number (218534283).

Almost surely, 2^2728835600 is an apocalyptic number.

2728835600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2728835600 is an abundant number, since it is smaller than the sum of its proper divisors (3827192890).

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

2728835600 is a wasteful number, since it uses less digits than its factorization.

2728835600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6822107 (or 6822096 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 2728835600 is about 52238.2580107721. The cubic root of 2728835600 is about 1397.4162549570.

The spelling of 2728835600 in words is "two billion, seven hundred twenty-eight million, eight hundred thirty-five thousand, six hundred".