10089828 has 36 divisors (see below), whose sum is σ = 29149120. Its totient is φ = 2882736.

The previous prime is 10089811. The next prime is 10089829. The reversal of 10089828 is 82898001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10089792 and 10089801.

It is not an unprimeable number, because it can be changed into a prime (10089829) 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 11 ways as a sum of consecutive naturals, for example, 19768 + ... + 20271.

Almost surely, 2^10089828 is an apocalyptic number.

10089828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10089828 is an abundant number, since it is smaller than the sum of its proper divisors (19059292).

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

10089828 is a wasteful number, since it uses less digits than its factorization.

10089828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40056 (or 40051 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 10089828 is about 3176.4489607107. The cubic root of 10089828 is about 216.0866421961.

The spelling of 10089828 in words is "ten million, eighty-nine thousand, eight hundred twenty-eight".