2728001795435 has 128 divisors (see below), whose sum is σ = 4072297420800. Its totient is φ = 1712521543680.

The previous prime is 2728001795401. The next prime is 2728001795521. The reversal of 2728001795435 is 5345971008272.

It is not a de Polignac number, because 2728001795435 - 2²⁴ = 2727985018219 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4242615224 + ... + 4242615866.

It is an arithmetic number, because the mean of its divisors is an integer number (31814823600).

Almost surely, 2^{2728001795435} is an apocalyptic number.

2728001795435 is a deficient number, since it is larger than the sum of its proper divisors (1344295625365).

2728001795435 is a wasteful number, since it uses less digits than its factorization.

2728001795435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621.

The product of its (nonzero) digits is 4233600, while the sum is 53.

The spelling of 2728001795435 in words is "two trillion, seven hundred twenty-eight billion, one million, seven hundred ninety-five thousand, four hundred thirty-five".