2728191 has 16 divisors (see below), whose sum is σ = 3997440. Its totient is φ = 1647360.

The previous prime is 2728171. The next prime is 2728199. The reversal of 2728191 is 1918272.

It is not a de Polignac number, because 2728191 - 2⁹ = 2727679 is a prime.

It is a super-2 number, since 2×2728191² = 14886052264962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271 + ... + 2351.

It is an arithmetic number, because the mean of its divisors is an integer number (249840).

2^2728191 is an apocalyptic number.

2728191 is a deficient number, since it is larger than the sum of its proper divisors (1269249).

2728191 is a wasteful number, since it uses less digits than its factorization.

2728191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126.

The product of its digits is 2016, while the sum is 30.

The square root of 2728191 is about 1651.7236451659. The cubic root of 2728191 is about 139.7306214683.

It can be divided in two parts, 27281 and 91, that added together give a palindrome (27372).

The spelling of 2728191 in words is "two million, seven hundred twenty-eight thousand, one hundred ninety-one".