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28027800504 = 233211103343579
BaseRepresentation
bin11010000110100101…
…100100101110111000
32200100022020210021100
4122012211210232320
5424400104104004
620513101011400
72011361242044
oct320645445670
980308223240
1028027800504
1110982a653a0
125522553b60
132848902852
1414dc549024
15ae0908739
hex686964bb8

28027800504 has 96 divisors (see below), whose sum is σ = 83613628800. Its totient is φ = 8410789440.

The previous prime is 28027800481. The next prime is 28027800511. The reversal of 28027800504 is 40500872082.

It is a happy number.

28027800504 is a `hidden beast` number, since 2 + 80 + 2 + 78 + 0 + 0 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90214 + ... + 253365.

It is an arithmetic number, because the mean of its divisors is an integer number (870975300).

Almost surely, 228027800504 is an apocalyptic number.

28027800504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28027800504 is an abundant number, since it is smaller than the sum of its proper divisors (55585828296).

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

28027800504 is a wasteful number, since it uses less digits than its factorization.

28027800504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343705 (or 343698 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 28027800504 in words is "twenty-eight billion, twenty-seven million, eight hundred thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 103 132 198 206 264 309 396 412 618 792 824 927 1133 1236 1854 2266 2472 3399 3708 4532 6798 7416 9064 10197 13596 20394 27192 40788 81576 343579 687158 1030737 1374316 2061474 2748632 3092211 3779369 4122948 6184422 7558738 8245896 11338107 12368844 15117476 22676214 24737688 30234952 34014321 35388637 45352428 68028642 70777274 90704856 106165911 136057284 141554548 212331822 272114568 283109096 318497733 389275007 424663644 636995466 778550014 849327288 1167825021 1273990932 1557100028 2335650042 2547981864 3114200056 3503475063 4671300084 7006950126 9342600168 14013900252 28027800504