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28427331840 = 283519389629
BaseRepresentation
bin11010011110011001…
…101010100100000000
32201101011001002020020
4122132121222210000
5431204344104330
621020452213440
72024312222325
oct323631524400
981334032206
1028427331840
1111068540186
12561430a280
1328b060ba1b
14153962ab4c
15b15a28210
hex69e66a900

28427331840 has 144 divisors (see below), whose sum is σ = 95568446400. Its totient is φ = 7181623296.

The previous prime is 28427331833. The next prime is 28427331887. The reversal of 28427331840 is 4813372482.

It is a happy number.

It is a super-2 number, since 2×284273318402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28427331792 and 28427331801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121855 + ... + 267774.

Almost surely, 228427331840 is an apocalyptic number.

28427331840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28427331840 is an abundant number, since it is smaller than the sum of its proper divisors (67141114560).

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

28427331840 is a wasteful number, since it uses less digits than its factorization.

28427331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389672 (or 389658 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 28427331840 in words is "twenty-eight billion, four hundred twenty-seven million, three hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 912 960 1140 1216 1280 1520 1824 1920 2280 2432 3040 3648 3840 4560 4864 6080 7296 9120 12160 14592 18240 24320 36480 72960 389629 779258 1168887 1558516 1948145 2337774 3117032 3896290 4675548 5844435 6234064 7402951 7792580 9351096 11688870 12468128 14805902 15585160 18702192 22208853 23377740 24936256 29611804 31170320 37014755 37404384 44417706 46755480 49872512 59223608 62340640 74029510 74808768 88835412 93510960 99745024 111044265 118447216 124681280 148059020 149617536 177670824 187021920 222088530 236894432 249362560 296118040 299235072 355341648 374043840 444177060 473788864 498725120 592236080 710683296 748087680 888354120 947577728 1184472160 1421366592 1496175360 1776708240 1895155456 2368944320 2842733184 3553416480 4737888640 5685466368 7106832960 9475777280 14213665920 28427331840