To find the 35th term of the sequence defined by the formula \( a_n = -60n + 28 \), we need to substitute \( n = 35 \) into the formula.
\[ a_{35} = -60(35) + 28 \]
First, calculate \( -60 \times 35 \):
\[ -60 \times 35 = -2100 \]
Now, add 28 to this result:
\[ a_{35} = -2100 + 28 = -2072 \]
Thus, the 35th term of the sequence is
\[ \boxed{-2072} \]