10828864 has 56 divisors (see below), whose sum is σ = 23454360. Its totient is φ = 4939776.

The previous prime is 10828793. The next prime is 10828871. The reversal of 10828864 is 46882801.

It can be written as a sum of positive squares in 4 ways, for example, as 2534464 + 8294400 = 1592^2 + 2880^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 40122 + ... + 40390.

Almost surely, 2^10828864 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 10828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11727180).

10828864 is an abundant number, since it is smaller than the sum of its proper divisors (12625496).

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

10828864 is a wasteful number, since it uses less digits than its factorization.

10828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 10828864 is about 3290.7239325109. The cubic root of 10828864 is about 221.2386330568.

The spelling of 10828864 in words is "ten million, eight hundred twenty-eight thousand, eight hundred sixty-four".