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28703481268 = 227211373491031
BaseRepresentation
bin11010101110110111…
…000101110110110100
32202002101122221000211
4122232313011312310
5432241042400033
621104115115204
72034204364600
oct325667056664
982071587024
1028703481268
111119a404350
1256908a2b04
1329258a8857
141564192500
15b2edc52cd
hex6aedc5db4

28703481268 has 144 divisors (see below), whose sum is σ = 65718172800. Its totient is φ = 10839225600.

The previous prime is 28703481263. The next prime is 28703481299. The reversal of 28703481268 is 86218430782.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28703481263) 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, 27839913 + ... + 27840943.

It is an arithmetic number, because the mean of its divisors is an integer number (456376200).

Almost surely, 228703481268 is an apocalyptic number.

28703481268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28703481268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32859086400).

28703481268 is an abundant number, since it is smaller than the sum of its proper divisors (37014691532).

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

28703481268 is a wasteful number, since it uses less digits than its factorization.

28703481268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 28703481268 in words is "twenty-eight billion, seven hundred three million, four hundred eighty-one thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 28 37 44 49 74 77 98 148 154 196 259 308 349 407 518 539 698 814 1031 1036 1078 1396 1628 1813 2062 2156 2443 2849 3626 3839 4124 4886 5698 7217 7252 7678 9772 11341 11396 12913 14434 15356 17101 19943 22682 25826 26873 28868 34202 38147 39886 45364 50519 51652 53746 68404 76294 79387 79772 90391 101038 107492 142043 152588 158774 180782 188111 202076 267029 284086 317548 359819 361564 376222 419617 534058 555709 568172 632737 719638 752444 839234 994301 1068116 1111418 1265474 1439276 1678468 1869203 1988602 2222836 2518733 2530948 2937319 3738406 3958009 3977204 5037466 5874638 6960107 7476812 7916018 10074932 11749276 13313303 13920214 15832036 17631131 20561233 26626606 27706063 27840428 35262262 41122466 53253212 55412126 70524524 82244932 93193121 110824252 146446333 186386242 193942441 292892666 372772484 387884882 585785332 652351847 775769764 1025124331 1304703694 2050248662 2609407388 4100497324 7175870317 14351740634 28703481268