10828610 has 32 divisors (see below), whose sum is σ = 21676032. Its totient is φ = 3867840.

The previous prime is 10828549. The next prime is 10828619. The reversal of 10828610 is 1682801.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10828610.

It is not an unprimeable number, because it can be changed into a prime (10828619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2687 + ... + 5373.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 2^10828610 is an apocalyptic number.

10828610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10828610 is the 2687-th pentagonal number.

10828610 is an abundant number, since it is smaller than the sum of its proper divisors (10847422).

10828610 is a wasteful number, since it uses less digits than its factorization.

10828610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738.

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 10828610 is about 3290.6853389530. The cubic root of 10828610 is about 221.2369032647.

The spelling of 10828610 in words is "ten million, eight hundred twenty-eight thousand, six hundred ten".