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28082104876 = 22729163331641
BaseRepresentation
bin11010001001110100…
…101110101000101100
32200111002102201212101
4122021310232220230
5430003004324001
620522320544444
72012620644610
oct321164565054
980432381771
1028082104876
1110a00686041
125538782124
132856c37207
141505843340
15ae5583a01
hex689d2ea2c

28082104876 has 96 divisors (see below), whose sum is σ = 58725434880. Its totient is φ = 11496038400.

The previous prime is 28082104873. The next prime is 28082104907. The reversal of 28082104876 is 67840128082.

It is a happy number.

It is a super-2 number, since 2×280821048762 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28082104873) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 43809516 + ... + 43810156.

It is an arithmetic number, because the mean of its divisors is an integer number (611723280).

Almost surely, 228082104876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28082104876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29362717440).

28082104876 is an abundant number, since it is smaller than the sum of its proper divisors (30643330004).

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

28082104876 is a wasteful number, since it uses less digits than its factorization.

28082104876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The spelling of 28082104876 in words is "twenty-eight billion, eighty-two million, one hundred four thousand, eight hundred seventy-six".

Divisors: 1 2 4 7 14 28 29 58 116 163 203 326 331 406 641 652 662 812 1141 1282 1324 2282 2317 2564 4487 4564 4634 4727 8974 9268 9454 9599 17948 18589 18908 19198 33089 37178 38396 53953 66178 67193 74356 104483 107906 130123 132356 134386 208966 212171 215812 260246 268772 377671 417932 424342 520492 731381 755342 848684 1462762 1485197 1510684 1564637 2925524 2970394 3030007 3129274 5940788 6060014 6152959 6258548 10952459 12120028 12305918 21210049 21904918 24611836 34583873 42420098 43070713 43809836 69167746 84840196 86141426 138335492 172282852 242087111 484174222 968348444 1002932317 2005864634 4011729268 7020526219 14041052438 28082104876