2728656 has 60 divisors (see below), whose sum is σ = 8730592. Its totient is φ = 779328.

The previous prime is 2728643. The next prime is 2728657. The reversal of 2728656 is 6568272.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2⁴ + 7³ + 2²⁰ + 8² + 6² + 5 + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 2728656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2728657) 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, 346 + ... + 2361.

2^2728656 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 2728656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365296).

2728656 is an abundant number, since it is smaller than the sum of its proper divisors (6001936).

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

2728656 is a wasteful number, since it uses less digits than its factorization.

2728656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2719 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2728656 is about 1651.8644012146. The cubic root of 2728656 is about 139.7385597013.

The spelling of 2728656 in words is "two million, seven hundred twenty-eight thousand, six hundred fifty-six".