This is the 13652nd most frequent German word.
eigenem
"Eigenem" means "one's own" in English.
In this sentence, 'eigenem' (own) is used to denote possession, indicating that the property belongs personally to the subject.
Er baut ein Haus auf eigenem Grundstück.
He is building a house on his own property.
Here, 'eigenem' is used to specify that the sofa referred to is her personal possession, stressing ownership.
Sie hat auf eigenem Sofa geschlafen.
She slept on her own sofa.
In this example, 'eigenem' highlights that the budget mentioned is specifically allocated for their use, indicating their exclusive control over it.