10086828 has 24 divisors (see below), whose sum is σ = 23869440. Its totient is φ = 3314640.

The previous prime is 10086827. The next prime is 10086833. The reversal of 10086828 is 82868001.

It is not an unprimeable number, because it can be changed into a prime (10086827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5068 + ... + 6771.

It is an arithmetic number, because the mean of its divisors is an integer number (994560).

Almost surely, 2^10086828 is an apocalyptic number.

It is an amenable number.

10086828 is an abundant number, since it is smaller than the sum of its proper divisors (13782612).

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

10086828 is a wasteful number, since it uses less digits than its factorization.

10086828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11917 (or 11915 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 10086828 is about 3175.9767001664. The cubic root of 10086828 is about 216.0652237871.

The spelling of 10086828 in words is "ten million, eighty-six thousand, eight hundred twenty-eight".