10113821928 has 96 divisors (see below), whose sum is σ = 31335183360. Its totient is φ = 2886848640.

The previous prime is 10113821909. The next prime is 10113821941. The reversal of 10113821928 is 82912831101.

It is a happy number.

10113821928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10113821892 and 10113821901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538618 + ... + 557078.

It is an arithmetic number, because the mean of its divisors is an integer number (326408160).

Almost surely, 2^10113821928 is an apocalyptic number.

10113821928 is a gapful number since it is divisible by the number (18) 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 10113821928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667591680).

10113821928 is an abundant number, since it is smaller than the sum of its proper divisors (21221361432).

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

10113821928 is a wasteful number, since it uses less digits than its factorization.

10113821928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19567 (or 19560 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 10113821928 in words is "ten billion, one hundred thirteen million, eight hundred twenty-one thousand, nine hundred twenty-eight".