Hyperbranched poly(ethylene imine)s (PEIs) functionalized with maltose, maltotriose, and maltoheptaose form distinct core-shell globular nanoparticles as revealed by small-angle X-ray scattering (SAXS). The solution structures are quantified using the Beaucage unified exponential/power-law approach. SAXS results were confirmed with dynamic light scattering (DLS). We found that all PEI structures are completely insensitive to changes of temperature (5 degrees C < T < 80 degrees C) and pH (1 < pH < 10). This remarkable stability of a compact spherical polymeric structure makes the modified PEIs promising for a wide range of biomedical applications.