10828827 has 24 divisors (see below), whose sum is σ = 16598400. Its totient is φ = 6791040.

The previous prime is 10828793. The next prime is 10828871. The reversal of 10828827 is 72882801.

10828827 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10828827 - 2²³ = 2440219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10828791 and 10828800.

It is not an unprimeable number, because it can be changed into a prime (10828327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9799 + ... + 10847.

It is an arithmetic number, because the mean of its divisors is an integer number (691600).

Almost surely, 2^10828827 is an apocalyptic number.

10828827 is a deficient number, since it is larger than the sum of its proper divisors (5769573).

10828827 is a wasteful number, since it uses less digits than its factorization.

10828827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1120 counting only the distinct ones).

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

The square root of 10828827 is about 3290.7183106428. The cubic root of 10828827 is about 221.2383810809.

The spelling of 10828827 in words is "ten million, eight hundred twenty-eight thousand, eight hundred twenty-seven".