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28185369282 = 23772131507
BaseRepresentation
bin11010001111111110…
…101001101011000010
32200202021202010000000
4122033332221223002
5430210423304112
620540450140430
72015313454200
oct321776515302
980667663000
1028185369282
1110a539a7124
125567281716
132872451805
141515444070
15aee6807dc
hex68ffa9ac2

28185369282 has 96 divisors (see below), whose sum is σ = 73760207040. Its totient is φ = 8052901416.

The previous prime is 28185369259. The next prime is 28185369287. The reversal of 28185369282 is 28296358182.

It is a happy number.

28185369282 is a `hidden beast` number, since 2 + 8 + 18 + 536 + 92 + 8 + 2 = 666.

28185369282 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (28185369287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148573 + ... + 280079.

It is an arithmetic number, because the mean of its divisors is an integer number (768335490).

Almost surely, 228185369282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28185369282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36880103520).

28185369282 is an abundant number, since it is smaller than the sum of its proper divisors (45574837758).

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

28185369282 is an equidigital number, since it uses as much as digits as its factorization.

28185369282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131544 (or 131519 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 28185369282 in words is "twenty-eight billion, one hundred eighty-five million, three hundred sixty-nine thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 729 882 1134 1323 1458 1701 2187 2646 3402 3969 4374 5103 7938 10206 11907 15309 23814 30618 35721 71442 107163 131507 214326 263014 394521 789042 920549 1183563 1841098 2367126 2761647 3550689 5523294 6443843 7101378 8284941 10652067 12887686 16569882 19331529 21304134 24854823 31956201 38663058 49709646 57994587 63912402 74564469 95868603 115989174 149128938 173983761 191737206 223693407 287605809 347967522 447386814 521951283 575211618 671080221 1043902566 1342160442 1565853849 2013240663 3131707698 4026481326 4697561547 9395123094 14092684641 28185369282