10010091828 has 96 divisors (see below), whose sum is σ = 26619973632. Its totient is φ = 2900044800.

The previous prime is 10010091823. The next prime is 10010091829. The reversal of 10010091828 is 82819001001.

It is a junction number, because it is equal to n+sod(n) for n = 10010091795 and 10010091804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010091823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324900 + ... + 354372.

It is an arithmetic number, because the mean of its divisors is an integer number (277291392).

Almost surely, 2^10010091828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010091828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13309986816).

10010091828 is an abundant number, since it is smaller than the sum of its proper divisors (16609881804).

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

10010091828 is a wasteful number, since it uses less digits than its factorization.

10010091828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29605 (or 29603 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

Adding to 10010091828 its reverse (82819001001), we get a palindrome (92829092829).

The spelling of 10010091828 in words is "ten billion, ten million, ninety-one thousand, eight hundred twenty-eight".