2728256 has 28 divisors (see below), whose sum is σ = 5535168. Its totient is φ = 1333632.

The previous prime is 2728247. The next prime is 2728259. The reversal of 2728256 is 6528272.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 2³ + 7 + 2⁴ + 8 + 2²⁰ + 5² + 6⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2555 + ... + 3461.

2^2728256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767584).

2728256 is an abundant number, since it is smaller than the sum of its proper divisors (2806912).

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

2728256 is an equidigital number, since it uses as much as digits as its factorization.

2728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 956 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 2728256 is about 1651.7433214637. The cubic root of 2728256 is about 139.7317311680.

2728256 divided by its sum of digits (32) gives a palindrome (85258).

The spelling of 2728256 in words is "two million, seven hundred twenty-eight thousand, two hundred fifty-six".