A branched polyamine comprises about 45 to about 70 backbone tertiary amine groups, about 90 to about 140 backbone secondary amine groups, a positive number n′ greater than 0 of backbone terminating primary amine groups, and a positive number q greater than 0 of backbone terminating carbamate groups of formula (2): wherein (n′+q) is a number equal to about 45 to about 70, the starred bond of formula (2) is linked to a backbone nitrogen of the branched polyamine, L′ is a divalent radical comprising 3 to 30 carbons, and q/(n′+q)×100% equals about 9% to about 47%.