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28689022368 = 253348136899
BaseRepresentation
bin11010101101111111…
…111011110110100000
32202001101110100011000
4122231333323312200
5432223342203433
621102441152000
72033640444426
oct325577736640
982041410130
1028689022368
1111192229146
125687a8b600
1329228b55a6
1415622ab116
15b2d9bb113
hex6adffbda0

28689022368 has 96 divisors (see below), whose sum is σ = 83705832000. Its totient is φ = 9559634688.

The previous prime is 28689022361. The next prime is 28689022379. The reversal of 28689022368 is 86322098682.

28689022368 is a `hidden beast` number, since 286 + 89 + 0 + 223 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28689022361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4154983 + ... + 4161881.

It is an arithmetic number, because the mean of its divisors is an integer number (871935750).

Almost surely, 228689022368 is an apocalyptic number.

It is an amenable number.

28689022368 is an abundant number, since it is smaller than the sum of its proper divisors (55016809632).

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

28689022368 is a wasteful number, since it uses less digits than its factorization.

28689022368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11731 (or 11717 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 28689022368 in words is "twenty-eight billion, six hundred eighty-nine million, twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 4813 6899 9626 13798 14439 19252 20697 27596 28878 38504 41394 43317 55192 57756 62091 77008 82788 86634 110384 115512 124182 129951 154016 165576 173268 186273 220768 231024 248364 259902 331152 346536 372546 462048 496728 519804 662304 693072 745092 993456 1039608 1386144 1490184 1986912 2079216 2980368 4158432 5960736 33204887 66409774 99614661 132819548 199229322 265639096 298843983 398458644 531278192 597687966 796917288 896531949 1062556384 1195375932 1593834576 1793063898 2390751864 3187669152 3586127796 4781503728 7172255592 9563007456 14344511184 28689022368