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28284648282 = 23311127374939
BaseRepresentation
bin11010010101111001…
…010111101101011010
32201000012120000012000
4122111321113231122
5430411332221112
620554354101430
72020630354302
oct322571275532
981005500160
1028284648282
1110aa4a45990
12559457a876
132889ba2097
1415246c8602
15b082417dc
hex695e57b5a

28284648282 has 64 divisors (see below), whose sum is σ = 69108940800. Its totient is φ = 8503593840.

The previous prime is 28284648257. The next prime is 28284648307.

28284648282 is a `hidden beast` number, since 2 + 8 + 2 + 84 + 6 + 482 + 82 = 666.

28284648282 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (28284648257) and next prime (28284648307).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112032 + ... + 262907.

It is an arithmetic number, because the mean of its divisors is an integer number (1079827200).

Almost surely, 228284648282 is an apocalyptic number.

28284648282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

28284648282 is an abundant number, since it is smaller than the sum of its proper divisors (40824292518).

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

28284648282 is a wasteful number, since it uses less digits than its factorization.

28284648282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375088 (or 375082 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 54.

The spelling of 28284648282 in words is "twenty-eight billion, two hundred eighty-four million, six hundred forty-eight thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 127 198 254 297 381 594 762 1143 1397 2286 2794 3429 4191 6858 8382 12573 25146 37719 75438 374939 749878 1124817 2249634 3374451 4124329 6748902 8248658 10123353 12372987 20246706 24745974 37118961 47617253 74237922 95234506 111356883 142851759 222713766 285703518 428555277 523789783 857110554 1047579566 1285665831 1571369349 2571331662 3142738698 4714108047 9428216094 14142324141 28284648282