10838828 has 48 divisors (see below), whose sum is σ = 25476864. Its totient is φ = 3896640.

The previous prime is 10838827. The next prime is 10838833. The reversal of 10838828 is 82883801.

It is a junction number, because it is equal to n+sod(n) for n = 10838791 and 10838800.

It is not an unprimeable number, because it can be changed into a prime (10838827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2651 + ... + 5357.

It is an arithmetic number, because the mean of its divisors is an integer number (530768).

Almost surely, 2^10838828 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 10838828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12738432).

10838828 is an abundant number, since it is smaller than the sum of its proper divisors (14638036).

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

10838828 is a wasteful number, since it uses less digits than its factorization.

10838828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 10838828 is about 3292.2375369952. The cubic root of 10838828 is about 221.3064686108.

It can be divided in two parts, 10 and 838828, that added together give a palindrome (838838).

The spelling of 10838828 in words is "ten million, eight hundred thirty-eight thousand, eight hundred twenty-eight".