2728590516 has 48 divisors (see below), whose sum is σ = 7077134400. Its totient is φ = 909143136.

The previous prime is 2728590509. The next prime is 2728590517. The reversal of 2728590516 is 6150958272.

2728590516 is a `hidden beast` number, since 2 + 7 + 2 + 8 + 590 + 51 + 6 = 666.

2728590516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728590517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371011 + ... + 378293.

It is an arithmetic number, because the mean of its divisors is an integer number (147440300).

Almost surely, 2^2728590516 is an apocalyptic number.

It is an amenable number.

2728590516 is an abundant number, since it is smaller than the sum of its proper divisors (4348543884).

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

2728590516 is a wasteful number, since it uses less digits than its factorization.

2728590516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10765 (or 10757 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2728590516 is about 52235.9121294919. The cubic root of 2728590516 is about 1397.3744184781.

The spelling of 2728590516 in words is "two billion, seven hundred twenty-eight million, five hundred ninety thousand, five hundred sixteen".