11857728 has 56 divisors (see below), whose sum is σ = 31658560. Its totient is φ = 3916800.

The previous prime is 11857711. The next prime is 11857751. The reversal of 11857728 is 82775811.

11857728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 28788 + ... + 29196.

Almost surely, 2^11857728 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 11857728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15829280).

11857728 is an abundant number, since it is smaller than the sum of its proper divisors (19800832).

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

11857728 is a wasteful number, since it uses less digits than its factorization.

11857728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 565 counting only the distinct ones).

The product of its digits is 31360, while the sum is 39.

The square root of 11857728 is about 3443.5051909355. The cubic root of 11857728 is about 228.0344669346.

The spelling of 11857728 in words is "eleven million, eight hundred fifty-seven thousand, seven hundred twenty-eight".