UTM problem

Hi,

this questions is not really about R but it would be great if somebody could 
point me to a forum or so where I can get help with this.

I only know a few basics about GIS and have a problem with some UTM coordinates 
from a survey.
Coordinates are given as, e.g.
3258843     32780
which are supposedly zone 36N on system WGS84 (according to the documentation).
If I convert it to long/lat using gdal:

require(rgdal)
SP <- SpatialPoints(cbind(X=3258843, Y=32780),proj4string=CRS("+proj=utm 
+zone=36 +ellps=WGS84"))
spTransform(SP, CRS("+proj=longlat +ellps=WGS84")) # x1=longitude x2=lat

SpatialPoints:
           X         Y
[1,] 57.0489 0.2706471
Coordinate Reference System (CRS) arguments: +proj=longlat +ellps=WGS84 

The point should be close to Kampala which has the coordinates 0.3?, 32.633333? 
and UTM 36N 459199 33160 on WGS84. My data's easting seems quite off. 

Has anybody an idea what I am doing wrongly? 

Thanks so much,
  Werner