The election of 1828 was one of the first presidential elections in which a significant number of non-property owning whites were allowed to vote. States had slowly dropped the property requirement, and by the election of 1828, only RI, NC, and VA still had them.

Jackson was very popular among the 'common man' and as a result, likely drew out a large number of voters. A more significant cause though was simply the fact that these people had not previously been able to vote and so they were exercising that right for the first time. We see similar, albeit far smaller surges in voter turnout immediately after the passage of the 15th, 19th, and 26th amendments.

One has to understand that this seemingly small change in who could vote significantly increased the size of the voter base. Far more than any other single change. (Proportionally, not in sheer numbers, that would be womens' suffrage) With such a substantial increase, if the majority of these new voters go out and do their civic duty, they can easily alter the percentage of voters. Fear of a Jackson presidency may have also driven some Republican voters to the polls to vote against him, but this is unlikely to have been significant.