Can you find the D numbers

A positive integer D D with divisors d 1 , d 2 , . . . , d n d_{1}, d_{2}, ..., d_{n} always has the following property: d 1 2018 + d 2 2018 + + d n 2018 p ( m o d 2018 ) , d_{1}^{2018} + d_{2}^{2018} +\cdots + d_{n}^{2018} \equiv p \pmod{2018}, where p p is a prime number. The first few such numbers D D are D 1 = 2 , D 2 = 49 , D 3 = 50 , D 4 = 81 , D 5 = 144 , . D_1=2,\ D_2=49,\ D_3=50,\ D_4=81,\ D_5=144,\ \ldots. What is D 28 + 1 ? D_{28}+1?


The answer is 2018.

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