38. "How many students are there in our city?" the children asked. "And you will find out yourself if you know that the number representing the number of students is the largest of all such numbers, where any two adjacent digits always form a number that is divisible by 23," the teacher replied. Using this information, the children solved the problem. Solve it too.
38. Let the desired number be $\overline{x_{1} x_{2} x_{3} \ldots x_{n}}$. It is known that $\overline{x_{i} x_{i+1}}: 23$. For $\overline{x_{i} x_{i+1}}$, the possible values are: $00,23,46,69,92$. Considering these 5 possible options, we get 46923. This number will be the largest of the possible such numbers, since none of the five numbers divisible by 23 end in 4 and do not start with 3, and therefore no digit can be written to the left or right.