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28263770112 = 211319212743
BaseRepresentation
bin11010010100101001…
…101110100000000000
32200221202021021201110
4122110221232200000
5430341011120422
620552330403320
72020255040064
oct322451564000
980852237643
1028263770112
1110a941858a6
125589590540
132885772036
141521a11aa4
15b064ba60c
hex694a6e800

28263770112 has 144 divisors (see below), whose sum is σ = 79532500320. Its totient is φ = 8924700672.

The previous prime is 28263770111. The next prime is 28263770113. The reversal of 28263770112 is 21107736282.

It is an interprime number because it is at equal distance from previous prime (28263770111) and next prime (28263770113).

It is not an unprimeable number, because it can be changed into a prime (28263770111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2211613 + ... + 2224355.

It is an arithmetic number, because the mean of its divisors is an integer number (552309030).

Almost surely, 228263770112 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 28263770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39766250160).

28263770112 is an abundant number, since it is smaller than the sum of its proper divisors (51268730208).

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

28263770112 is a wasteful number, since it uses less digits than its factorization.

28263770112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12806 (or 12767 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 28263770112 in words is "twenty-eight billion, two hundred sixty-three million, seven hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 361 384 456 512 608 722 768 912 1024 1083 1216 1444 1536 1824 2048 2166 2432 2888 3072 3648 4332 4864 5776 6144 7296 8664 9728 11552 12743 14592 17328 19456 23104 25486 29184 34656 38229 38912 46208 50972 58368 69312 76458 92416 101944 116736 138624 152916 184832 203888 242117 277248 305832 369664 407776 484234 554496 611664 726351 739328 815552 968468 1108992 1223328 1452702 1631104 1936936 2217984 2446656 2905404 3262208 3873872 4600223 4893312 5810808 6524416 7747744 9200446 9786624 11621616 13048832 13800669 15495488 18400892 19573248 23243232 26097664 27601338 30990976 36801784 39146496 46486464 55202676 61981952 73603568 78292992 92972928 110405352 123963904 147207136 185945856 220810704 247927808 294414272 371891712 441621408 495855616 588828544 743783424 883242816 1177657088 1487566848 1766485632 2355314176 3532971264 4710628352 7065942528 9421256704 14131885056 28263770112