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28127410480 = 24513892291327
BaseRepresentation
bin11010001100100001…
…100011100100110000
32200121020200111110201
4122030201203210300
5430101104113410
620531020004544
72014011021121
oct321441434460
980536614421
1028127410480
1110a2420a894
12554b990754
13286343a970
14150b878048
15ae953283a
hex68c863930

28127410480 has 160 divisors (see below), whose sum is σ = 71582918400. Its totient is φ = 10216267776.

The previous prime is 28127410477. The next prime is 28127410543. The reversal of 28127410480 is 8401472182.

It is a happy 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, 21195577 + ... + 21196903.

It is an arithmetic number, because the mean of its divisors is an integer number (447393240).

Almost surely, 228127410480 is an apocalyptic number.

28127410480 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 28127410480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35791459200).

28127410480 is an abundant number, since it is smaller than the sum of its proper divisors (43455507920).

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

28127410480 is a wasteful number, since it uses less digits than its factorization.

28127410480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The spelling of 28127410480 in words is "twenty-eight billion, one hundred twenty-seven million, four hundred ten thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 89 104 130 178 208 229 260 356 445 458 520 712 890 916 1040 1145 1157 1327 1424 1780 1832 2290 2314 2654 2977 3560 3664 4580 4628 5308 5785 5954 6635 7120 9160 9256 10616 11570 11908 13270 14885 17251 18320 18512 20381 21232 23140 23816 26540 29770 34502 40762 46280 47632 53080 59540 69004 81524 86255 92560 101905 106160 118103 119080 138008 163048 172510 203810 236206 238160 264953 276016 303883 326096 345020 407620 472412 529906 590515 607766 690040 815240 944824 1059812 1181030 1215532 1324765 1380080 1519415 1535339 1630480 1889648 2119624 2362060 2431064 2649530 3038830 3070678 3950479 4239248 4724120 4862128 5299060 6077660 6141356 7676695 7900958 9448240 10598120 12155320 12282712 15353390 15801916 19752395 21196240 24310640 24565424 27045587 30706780 31603832 39504790 54091174 61413560 63207664 79009580 108182348 122827120 135227935 158019160 216364696 270455870 316038320 351592631 432729392 540911740 703185262 1081823480 1406370524 1757963155 2163646960 2812741048 3515926310 5625482096 7031852620 14063705240 28127410480