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A dust filter has a vertically oriented filter housing and a partition dividing the filter housing into a lower dust-contaminated air chamber and an upper clean air chamber. The partition has a plurality of openings. Self-supporting filter tubes are suspended from the openings and extend into the lower dust-contaminated chamber, wherein the self-supporting filter tubes are open upwardly in a direction toward the clean air chamber. Several self-supporting filter tubes are combined to a filter bundle, respectively, wherein a spacing between the self-supporting filter tubes of each filter bundle is smaller than a spacing of the filter bundles relative to one another. A device for cleaning off dust and product particles adhering to outer surfaces of the self-supporting filter tubes is provided.