10233838000 has 80 divisors (see below), whose sum is σ = 24800671584. Its totient is φ = 4084396800.

The previous prime is 10233837961. The next prime is 10233838001. The reversal of 10233838000 is 83833201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10233838000.

It is not an unprimeable number, because it can be changed into a prime (10233838001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928522 + ... + 939478.

Almost surely, 2^10233838000 is an apocalyptic number.

10233838000 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 10233838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12400335792).

10233838000 is an abundant number, since it is smaller than the sum of its proper divisors (14566833584).

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

10233838000 is a wasteful number, since it uses less digits than its factorization.

10233838000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11447 (or 11431 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10233838000 in words is "ten billion, two hundred thirty-three million, eight hundred thirty-eight thousand".