2728519760 has 20 divisors (see below), whose sum is σ = 6343808628. Its totient is φ = 1091407872.

The previous prime is 2728519711. The next prime is 2728519789. The reversal of 2728519760 is 679158272.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 613255696 + 2115264064 = 24764^2 + 45992^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17053169 + ... + 17053328.

Almost surely, 2^2728519760 is an apocalyptic number.

2728519760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2728519760 is an abundant number, since it is smaller than the sum of its proper divisors (3615288868).

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

2728519760 is a wasteful number, since it uses less digits than its factorization.

2728519760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34106510 (or 34106504 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The square root of 2728519760 is about 52235.2348515827. The cubic root of 2728519760 is about 1397.3623397780.

The spelling of 2728519760 in words is "two billion, seven hundred twenty-eight million, five hundred nineteen thousand, seven hundred sixty".