6887728 has 40 divisors (see below), whose sum is σ = 14235200. Its totient is φ = 3219264.

The previous prime is 6887681. The next prime is 6887753. The reversal of 6887728 is 8277886.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42175 + ... + 42337.

It is an arithmetic number, because the mean of its divisors is an integer number (355880).

Almost surely, 2^6887728 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 6887728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117600).

6887728 is an abundant number, since it is smaller than the sum of its proper divisors (7347472).

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

6887728 is a wasteful number, since it uses less digits than its factorization.

6887728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its digits is 301056, while the sum is 46.

The square root of 6887728 is about 2624.4481324652. The cubic root of 6887728 is about 190.2648936775.

The spelling of 6887728 in words is "six million, eight hundred eighty-seven thousand, seven hundred twenty-eight".