This is the 3558th most frequent Polish word.
białym
"White" (instrumental singular form of "biały").
The word 'białym' is used here as an adjective agreeing in case (instrumental) and gender (singular, masculine) with the noun 'płaszcz' (coat).
Mam białym płaszcz na wieszaku.
I have a white coat on the hanger.
The word 'białym' functions as an adjective here, in the locative case, to describe the sand.
Spacerujemy po białym piasku na plaży.
We are walking on the white sand at the beach.
Here, 'białym' is used as an adjective in the instrumental case to describe the tablecloth.