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28271320 = 23571167137
BaseRepresentation
bin110101111011…
…0001011011000
31222012022221221
41223312023120
524214140240
62445541424
7462205450
oct153661330
958168857
1028271320
1114a5a730
129574874
135b1b1bc
143a7cd60
152736a4a
hex1af62d8

28271320 has 128 divisors (see below), whose sum is σ = 81077760. Its totient is φ = 8616960.

The previous prime is 28271311. The next prime is 28271359. The reversal of 28271320 is 2317282.

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, 206292 + ... + 206428.

It is an arithmetic number, because the mean of its divisors is an integer number (633420).

Almost surely, 228271320 is an apocalyptic number.

28271320 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 28271320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40538880).

28271320 is an abundant number, since it is smaller than the sum of its proper divisors (52806440).

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

28271320 is a wasteful number, since it uses less digits than its factorization.

28271320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 28271320 is about 5317.0781449966. The cubic root of 28271320 is about 304.6365643278.

The spelling of 28271320 in words is "twenty-eight million, two hundred seventy-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 67 70 77 88 110 134 137 140 154 220 268 274 280 308 335 385 440 469 536 548 616 670 685 737 770 938 959 1096 1340 1370 1474 1507 1540 1876 1918 2345 2680 2740 2948 3014 3080 3685 3752 3836 4690 4795 5159 5480 5896 6028 7370 7535 7672 9179 9380 9590 10318 10549 12056 14740 15070 18358 18760 19180 20636 21098 25795 29480 30140 36716 38360 41272 42196 45895 51590 52745 60280 64253 73432 84392 91790 100969 103180 105490 128506 183580 201938 206360 210980 257012 321265 367160 403876 421960 504845 514024 642530 706783 807752 1009690 1285060 1413566 2019380 2570120 2827132 3533915 4038760 5654264 7067830 14135660 28271320