10857728 has 72 divisors (see below), whose sum is σ = 25411008. Its totient is φ = 4534272.

The previous prime is 10857709. The next prime is 10857731. The reversal of 10857728 is 82775801.

It is a junction number, because it is equal to n+sod(n) for n = 10857691 and 10857700.

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, 130775 + ... + 130857.

Almost surely, 2^10857728 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 10857728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705504).

10857728 is an abundant number, since it is smaller than the sum of its proper divisors (14553280).

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

10857728 is an frugal number, since it uses more digits than its factorization.

10857728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 10857728 is about 3295.1066750562. The cubic root of 10857728 is about 221.4350268967.

The spelling of 10857728 in words is "ten million, eight hundred fifty-seven thousand, seven hundred twenty-eight".