2728515790501 has 12 divisors (see below), whose sum is σ = 2938162876612. Its totient is φ = 2532836556288.

The previous prime is 2728515790457. The next prime is 2728515790537. The reversal of 2728515790501 is 1050975158272.

It can be written as a sum of positive squares in 6 ways, for example, as 8176861476 + 2720338929025 = 90426^2 + 1649345^2 .

It is not a de Polignac number, because 2728515790501 - 2²⁷ = 2728381572773 is a prime.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728515799501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64644870 + ... + 64687063.

Almost surely, 2^{2728515790501} is an apocalyptic number.

It is an amenable number.

2728515790501 is a deficient number, since it is larger than the sum of its proper divisors (209647086111).

2728515790501 is a wasteful number, since it uses less digits than its factorization.

2728515790501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129332040 (or 129332023 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 52.

The spelling of 2728515790501 in words is "two trillion, seven hundred twenty-eight billion, five hundred fifteen million, seven hundred ninety thousand, five hundred one".