10879728 has 80 divisors (see below), whose sum is σ = 30355200. Its totient is φ = 3345408.

The previous prime is 10879721. The next prime is 10879751. The reversal of 10879728 is 82797801.

It is a self number, because there is not a number n which added to its sum of digits gives 10879728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10879721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54573 + ... + 54771.

It is an arithmetic number, because the mean of its divisors is an integer number (379440).

Almost surely, 2^10879728 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 10879728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177600).

10879728 is an abundant number, since it is smaller than the sum of its proper divisors (19475472).

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

10879728 is a wasteful number, since it uses less digits than its factorization.

10879728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 10879728 is about 3298.4432691802. The cubic root of 10879728 is about 221.5844837020.

The spelling of 10879728 in words is "ten million, eight hundred seventy-nine thousand, seven hundred twenty-eight".