2688728 has 48 divisors (see below), whose sum is σ = 6190200. Its totient is φ = 1091664.

The previous prime is 2688701. The next prime is 2688731. The reversal of 2688728 is 8278862.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

Its product of digits (86016) is a multiple of the sum of its prime divisors (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141503 + ... + 141521.

2^2688728 is an apocalyptic number.

2688728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2688728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095100).

2688728 is an abundant number, since it is smaller than the sum of its proper divisors (3501472).

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

2688728 is an equidigital number, since it uses as much as digits as its factorization.

2688728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its digits is 86016, while the sum is 41.

The square root of 2688728 is about 1639.7341247897. The cubic root of 2688728 is about 139.0536169809.

The spelling of 2688728 in words is "two million, six hundred eighty-eight thousand, seven hundred twenty-eight".