GRB 081128***A***, Swift-BAT refined analysis S. D. Barthelmy (GSFC), W. H. Baumgartner (GSFC/UMBC), J. R. Cummings (GSFC/UMBC), N. Gehrels (GSFC), H. A. Krimm (GSFC/USRA), A. Y. Lien (GSFC/UMBC), C. B. Markwardt (GSFC), D. M. Palmer (LANL), T. Sakamoto (AGU), M. Stamatikos (OSU), T. N. Ukwatta (LANL) (i.e. the Swift-BAT team): Using the data set from T-239 to T+963 sec from the recent telemetry downlink, we report further analysis of BAT GRB 081128***A*** (trigger #335895) (NAME, et al., GCN Circ. xxxx). The BAT ground-calculated position is RA, Dec = 20.801, 38.123 deg which is RA(J2000) = 01h 23m 12.3s Dec(J2000) = +38d 07' 21.2" with an uncertainty of 1.0 arcmin, (radius, sys+stat, 90% containment). The partial coding was 74%. [Description about the mask-weighted light curve] T90 (15-350 keV) is 102.3 +- 10.6 sec (estimated error including systematics). The time-averaged spectrum from T-69.0 to T+62.7 sec is best fit by a power law with an exponential cutoff. This fit gives a photon index 0.94 +- 0.42, and Epeak of 49.9 +- 6.7 keV (chi squared 51.62 for 56 d.o.f.). For this model the total fluence in the 15-150 keV band is 2.3 +- 0.2 x 10^-06 erg/cm2 and the 1-sec peak flux measured from T+17.60 sec in the 15-150 keV band is 1.3 +- 0.2 ph/cm2/sec. A fit to a simple power law gives a photon index of 1.88 +- 0.09 (chi squared 69.73 for 57 d.o.f.). All the quoted errors are at the 90% confidence level. The results of the batgrbproduct analysis are available at http://gcn.gsfc.nasa.gov/notices_s/335895/BA/