10288827 has 12 divisors (see below), whose sum is σ = 15224664. Its totient is φ = 6691680.

The previous prime is 10288801. The next prime is 10288841. The reversal of 10288827 is 72888201.

It is not a de Polignac number, because 10288827 - 2⁷ = 10288699 is a prime.

It is a super-2 number, since 2×10288827² = 211719922071858, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10288791 and 10288800.

It is not an unprimeable number, because it can be changed into a prime (10288847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13573 + ... + 14310.

It is an arithmetic number, because the mean of its divisors is an integer number (1268722).

Almost surely, 2^10288827 is an apocalyptic number.

10288827 is a deficient number, since it is larger than the sum of its proper divisors (4935837).

10288827 is a wasteful number, since it uses less digits than its factorization.

10288827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27930 (or 27927 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 10288827 is about 3207.6201458402. The cubic root of 10288827 is about 217.4980102870.

The spelling of 10288827 in words is "ten million, two hundred eighty-eight thousand, eight hundred twenty-seven".