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28367419680 = 2532522388339
BaseRepresentation
bin11010011010110101…
…000111100100100000
32201012222022020012100
4122122311013210200
5431044024412210
621010512130400
72022654042315
oct323265074440
981188266170
1028367419680
111103773a2a6
1255b8236a00
1328a1092a42
1415316b2d0c
15b106415c0
hex69ad47920

28367419680 has 144 divisors (see below), whose sum is σ = 97239018240. Its totient is φ = 7530637824.

The previous prime is 28367419669. The next prime is 28367419681. The reversal of 28367419680 is 8691476382.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (28367419681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276951 + ... + 365289.

It is an arithmetic number, because the mean of its divisors is an integer number (675270960).

Almost surely, 228367419680 is an apocalyptic number.

28367419680 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 28367419680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48619509120).

28367419680 is an abundant number, since it is smaller than the sum of its proper divisors (68871598560).

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

28367419680 is a wasteful number, since it uses less digits than its factorization.

28367419680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88583 (or 88572 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 28367419680 in words is "twenty-eight billion, three hundred sixty-seven million, four hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 223 240 288 360 446 480 669 720 892 1115 1338 1440 1784 2007 2230 2676 3345 3568 4014 4460 5352 6690 7136 8028 8920 10035 10704 13380 16056 17840 20070 21408 26760 32112 35680 40140 53520 64224 80280 88339 107040 160560 176678 265017 321120 353356 441695 530034 706712 795051 883390 1060068 1325085 1413424 1590102 1766780 2120136 2650170 2826848 3180204 3533560 3975255 4240272 5300340 6360408 7067120 7950510 8480544 10600680 12720816 14134240 15901020 19699597 21201360 25441632 31802040 39399194 42402720 59098791 63604080 78798388 98497985 118197582 127208160 157596776 177296373 196995970 236395164 295493955 315193552 354592746 393991940 472790328 590987910 630387104 709185492 787983880 886481865 945580656 1181975820 1418370984 1575967760 1772963730 1891161312 2363951640 2836741968 3151935520 3545927460 4727903280 5673483936 7091854920 9455806560 14183709840 28367419680