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28832415260 = 225111928124547
BaseRepresentation
bin11010110110100010…
…111011111000011100
32202102101021110012212
4122312202323320130
5433022044242020
621125002415552
72040331325465
oct326642737034
982371243185
1028832415260
1111256168370
125707b015b8
13294651005c
141577355d6c
15b3b392cc5
hex6b68bbe1c

28832415260 has 96 divisors (see below), whose sum is σ = 69779162880. Its totient is φ = 9896947200.

The previous prime is 28832415257. The next prime is 28832415277. The reversal of 28832415260 is 6251423882.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1162307 + ... + 1186853.

It is an arithmetic number, because the mean of its divisors is an integer number (726866280).

Almost surely, 228832415260 is an apocalyptic number.

28832415260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28832415260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34889581440).

28832415260 is an abundant number, since it is smaller than the sum of its proper divisors (40946747620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28832415260 is a wasteful number, since it uses less digits than its factorization.

28832415260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24867 (or 24865 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 28832415260 in words is "twenty-eight billion, eight hundred thirty-two million, four hundred fifteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 281 380 418 562 836 1045 1124 1405 2090 2810 3091 4180 5339 5620 6182 10678 12364 15455 21356 24547 26695 30910 49094 53390 58729 61820 98188 106780 117458 122735 234916 245470 270017 293645 466393 490940 540034 587290 932786 1080068 1174580 1350085 1865572 2331965 2700170 4663930 5130323 5400340 6897707 9327860 10260646 13795414 20521292 25651615 27590828 34488535 51303230 68977070 75874777 102606460 131056433 137954140 151749554 262112866 303499108 379373885 524225732 655282165 758747770 1310564330 1441620763 1517495540 2621128660 2883241526 5766483052 7208103815 14416207630 28832415260