The invention relates to soluble highly branched glucose polymers, having a reducing sugar content of less than 1%, a level of .alpha.-1,6 glucoside bonds of between 13 and 17% and an Mw having a value of between 0.9.times.10.sup.5 and 1.5.times.10.sup.5 daltons, characterized in that their branched chain length distribution profile consists of 70 to 85% of DP of less than 15, of 10 to 16% of DP of between 15 and 25 and of 8 to 13% of DP greater than 25.