If f(1) + 2f(2) + 3f(3) ........nf(n) = n(n + 1) f(n) is true ∀ n ≥ 2 and f(1) = 1

If f(1) + 2f(2) + 3f(3) ........nf(n) = n(n + 1) f(n) is true ∀ n ≥ 2 and f(1) = 1 then the value of \(\frac 1{2022} + \frac 1{f(2028)}\) is ____.

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