2728082693 has 24 divisors (see below), whose sum is σ = 3425690880. Its totient is φ = 2159535840.

The previous prime is 2728082689. The next prime is 2728082717. The reversal of 2728082693 is 3962808272.

It is not a de Polignac number, because 2728082693 - 2² = 2728082689 is a prime.

It is a super-2 number, since 2×2728082693² = 14884870359692264498, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728082653) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9053 + ... + 74418.

It is an arithmetic number, because the mean of its divisors is an integer number (142737120).

Almost surely, 2^2728082693 is an apocalyptic number.

2728082693 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2728082693 is a deficient number, since it is larger than the sum of its proper divisors (697608187).

2728082693 is a wasteful number, since it uses less digits than its factorization.

2728082693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83537 (or 83530 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 2728082693 is about 52231.0510424594. The cubic root of 2728082693 is about 1397.2877237917.

It can be divided in two parts, 272808269 and 3, that added together give a palindrome (272808272).

The spelling of 2728082693 in words is "two billion, seven hundred twenty-eight million, eighty-two thousand, six hundred ninety-three".