10828175904 has 480 divisors, whose sum is σ = 40571435520. Its totient is φ = 2755565568.

The previous prime is 10828175903. The next prime is 10828175929. The reversal of 10828175904 is 40957182801.

It is a self number, because there is not a number n which added to its sum of digits gives 10828175904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10828175903) 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 79 ways as a sum of consecutive naturals, for example, 6839497 + ... + 6841079.

It is an arithmetic number, because the mean of its divisors is an integer number (84523824).

Almost surely, 2^10828175904 is an apocalyptic number.

10828175904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10828175904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20285717760).

10828175904 is an abundant number, since it is smaller than the sum of its proper divisors (29743259616).

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

10828175904 is a wasteful number, since it uses less digits than its factorization.

10828175904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10828175904 in words is "ten billion, eight hundred twenty-eight million, one hundred seventy-five thousand, nine hundred four".