2728096 has 48 divisors (see below), whose sum is σ = 6471360. Its totient is φ = 1105920.

The previous prime is 2728079. The next prime is 2728097. The reversal of 2728096 is 6908272.

It is a d-powerful number, because it can be written as 2¹¹ + 7⁷ + 2¹⁷ + 8⁵ + 0 + 9⁵ + 6⁸ .

It is not an unprimeable number, because it can be changed into a prime (2728097) 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 7 ways as a sum of consecutive naturals, for example, 3936 + ... + 4576.

It is an arithmetic number, because the mean of its divisors is an integer number (134820).

2^2728096 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 2728096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235680).

2728096 is an abundant number, since it is smaller than the sum of its proper divisors (3743264).

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

2728096 is a wasteful number, since it uses less digits than its factorization.

2728096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2728096 is about 1651.6948870781. The cubic root of 2728096 is about 139.7289995678.

The spelling of 2728096 in words is "two million, seven hundred twenty-eight thousand, ninety-six".