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28221408790008 = 23372571509143313
BaseRepresentation
bin1100110101010110011110…
…00010111100010111111000
310200220221101111112210211220
412122223033002330113320
512144334421122240013
6140004423004552040
75641633550504430
oct632531702742770
9120827344483756
1028221408790008
118aa06a5593255
1231b95b8852620
13129936270a335
146d7cd00232c0
1533e184a1ab23
hex19aacf0bc5f8

28221408790008 has 128 divisors (see below), whose sum is σ = 80953574929920. Its totient is φ = 8031167447040.

The previous prime is 28221408789961. The next prime is 28221408790009. The reversal of 28221408790008 is 80009780412282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28221408790009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651547360 + ... + 651590672.

It is an arithmetic number, because the mean of its divisors is an integer number (632449804140).

Almost surely, 228221408790008 is an apocalyptic number.

28221408790008 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 28221408790008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40476787464960).

28221408790008 is an abundant number, since it is smaller than the sum of its proper divisors (52732166139912).

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

28221408790008 is a wasteful number, since it uses less digits than its factorization.

28221408790008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58677 (or 58673 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 28221408790008 in words is "twenty-eight trillion, two hundred twenty-one billion, four hundred eight million, seven hundred ninety thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 257 514 771 1028 1542 1799 2056 3084 3598 5397 6168 7196 10794 14392 15091 21588 30182 43176 43313 45273 60364 86626 90546 105637 120728 129939 173252 181092 211274 259878 303191 316911 346504 362184 422548 519756 606382 633822 845096 909573 1039512 1212764 1267644 1819146 2425528 2535288 3638292 3878387 7276584 7756774 11131441 11635161 15513548 22262882 23270322 27148709 31027096 33394323 44525764 46540644 54297418 66788646 77920087 81446127 89051528 93081288 108594836 133577292 155840174 162892254 217189672 233760261 267154584 311680348 325784508 467520522 623360696 651569016 653636483 935041044 1307272966 1870082088 1960909449 2614545932 3921818898 4575455381 5229091864 7843637796 9150910762 13726366143 15687275592 18301821524 27452732286 36603643048 54905464572 109810929144 167984576131 335969152262 503953728393 671938304524 1007907456786 1175892032917 1343876609048 2015814913572 2351784065834 3527676098751 4031629827144 4703568131668 7055352197502 9407136263336 14110704395004 28221408790008