10824128 has 56 divisors (see below), whose sum is σ = 25249632. Its totient is φ = 4506624.

The previous prime is 10824127. The next prime is 10824131. The reversal of 10824128 is 82142801.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 10824097 and 10824106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10824127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16250 + ... + 16902.

Almost surely, 2^10824128 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 10824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12624816).

10824128 is an abundant number, since it is smaller than the sum of its proper divisors (14425504).

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

10824128 is an equidigital number, since it uses as much as digits as its factorization.

10824128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 10824128 is about 3290.0042553164. The cubic root of 10824128 is about 221.2063754734.

Adding to 10824128 its reverse (82142801), we get a palindrome (92966929).

The spelling of 10824128 in words is "ten million, eight hundred twenty-four thousand, one hundred twenty-eight".