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28398346368 = 273753199337
BaseRepresentation
bin11010011100101011…
…000110000010000000
32201022010111110122020
4122130223012002000
5431124434040433
621013535041440
72023510650510
oct323453060200
981263443566
1028398346368
1111053142a47
125606670280
1328a7600762
141535843840
15b131eecb3
hex69cac6080

28398346368 has 128 divisors (see below), whose sum is σ = 87836296320. Its totient is φ = 7960682496.

The previous prime is 28398346357. The next prime is 28398346393. The reversal of 28398346368 is 86364389382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42796 + ... + 242132.

It is an arithmetic number, because the mean of its divisors is an integer number (686221065).

Almost surely, 228398346368 is an apocalyptic number.

28398346368 is a gapful number since it is divisible by the number (28) 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 28398346368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43918148160).

28398346368 is an abundant number, since it is smaller than the sum of its proper divisors (59437949952).

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

28398346368 is a wasteful number, since it uses less digits than its factorization.

28398346368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199414 (or 199402 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 60.

The spelling of 28398346368 in words is "twenty-eight billion, three hundred ninety-eight million, three hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 128 159 168 192 212 224 318 336 371 384 424 448 636 672 742 848 896 1113 1272 1344 1484 1696 2226 2544 2688 2968 3392 4452 5088 5936 6784 8904 10176 11872 17808 20352 23744 35616 47488 71232 142464 199337 398674 598011 797348 1196022 1395359 1594696 2392044 2790718 3189392 4186077 4784088 5581436 6378784 8372154 9568176 10564861 11162872 12757568 16744308 19136352 21129722 22325744 25515136 31694583 33488616 38272704 42259444 44651488 63389166 66977232 73954027 76545408 84518888 89302976 126778332 133954464 147908054 169037776 178605952 221862081 253556664 267908928 295816108 338075552 443724162 507113328 535817856 591632216 676151104 887448324 1014226656 1183264432 1352302208 1774896648 2028453312 2366528864 3549793296 4056906624 4733057728 7099586592 9466115456 14199173184 28398346368