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28801188864 = 210327446447
BaseRepresentation
bin11010110100101011…
…110100010000000000
32202100012111222122200
4122310223310100000
5432441101020424
621121525233200
72036502031440
oct326453642000
982305458580
1028801188864
111123a57a528
1256b9562800
13293cbc8ab6
141573148120
15b387758c9
hex6b4af4400

28801188864 has 132 divisors (see below), whose sum is σ = 95043421824. Its totient is φ = 8228892672.

The previous prime is 28801188859. The next prime is 28801188887. The reversal of 28801188864 is 46888110882.

It is a super-2 number, since 2×288011888642 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28801188864.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158712 + ... + 287735.

Almost surely, 228801188864 is an apocalyptic number.

28801188864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28801188864 is an abundant number, since it is smaller than the sum of its proper divisors (66242232960).

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

28801188864 is a wasteful number, since it uses less digits than its factorization.

28801188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446480 (or 446459 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 28801188864 in words is "twenty-eight billion, eight hundred one million, one hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 64512 446447 892894 1339341 1785788 2678682 3125129 3571576 4018023 5357364 6250258 7143152 8036046 9375387 10714728 12500516 14286304 16072092 18750774 21429456 25001032 28126161 28572608 32144184 37501548 42858912 50002064 56252322 57145216 64288368 75003096 85717824 100004128 112504644 114290432 128576736 150006192 171435648 200008256 225009288 228580864 257153472 300012384 342871296 400016512 450018576 457161728 514306944 600024768 685742592 800033024 900037152 1028613888 1200049536 1371485184 1600066048 1800074304 2057227776 2400099072 3200132096 3600148608 4114455552 4800198144 7200297216 9600396288 14400594432 28801188864