10289828 has 18 divisors (see below), whose sum is σ = 19115586. Its totient is φ = 4829824.

The previous prime is 10289827. The next prime is 10289863. The reversal of 10289828 is 82898201.

It can be written as a sum of positive squares in 3 ways, for example, as 692224 + 9597604 = 832^2 + 3098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10289791 and 10289800.

It is not an unprimeable number, because it can be changed into a prime (10289821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26258 + ... + 26646.

It is an arithmetic number, because the mean of its divisors is an integer number (1061977).

Almost surely, 2^10289828 is an apocalyptic number.

It is an amenable number.

10289828 is a deficient number, since it is larger than the sum of its proper divisors (8825758).

10289828 is an equidigital number, since it uses as much as digits as its factorization.

10289828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 10289828 is about 3207.7761767305. The cubic root of 10289828 is about 217.5050635189.

The spelling of 10289828 in words is "ten million, two hundred eighty-nine thousand, eight hundred twenty-eight".