10828909000 has 256 divisors, whose sum is σ = 31466373120. Its totient is φ = 3396556800.

The previous prime is 10828908997. The next prime is 10828909009. The reversal of 10828909000 is 90982801.

It is not an unprimeable number, because it can be changed into a prime (10828909009) 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 63 ways as a sum of consecutive naturals, for example, 11556532 + ... + 11557468.

It is an arithmetic number, because the mean of its divisors is an integer number (122915520).

Almost surely, 2^10828909000 is an apocalyptic number.

10828909000 is a gapful number since it is divisible by the number (10) 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 10828909000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15733186560).

10828909000 is an abundant number, since it is smaller than the sum of its proper divisors (20637464120).

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

10828909000 is a wasteful number, since it uses less digits than its factorization.

10828909000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 10828909000 in words is "ten billion, eight hundred twenty-eight million, nine hundred nine thousand".