This is the 11696th most frequent Russian word.
заботах
"Заботах" means "cares" or "concerns" (plural, prepositional case).
Here, 'заботах' describes a day filled with various concerns or duties.
Ее день был полон забот.
Her day was full of cares.
The word 'заботах' here refers to the state of being concerned or busy with responsibilities.
Он всегда в заботах о своих детях.
He is always concerned about his children.
In this sentence, 'заботах' denotes the efforts or tasks undertaken as part of preparation.