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28001967192 = 2333475095419
BaseRepresentation
bin11010000101000011…
…000001110001011000
32200021111122022122000
4122011003001301120
5424322000422232
620510335201000
72010625536213
oct320503016130
980244568560
1028001967192
111096a420451
125515976160
132843459274
1414d8d4277a
15add50427c
hex6850c1c58

28001967192 has 128 divisors (see below), whose sum is σ = 79608960000. Its totient is φ = 9115763328.

The previous prime is 28001967127. The next prime is 28001967241. The reversal of 28001967192 is 29176910082.

It is a super-4 number, since 4×280019671924 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5164659 + ... + 5170077.

It is an arithmetic number, because the mean of its divisors is an integer number (621945000).

Almost surely, 228001967192 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 28001967192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39804480000).

28001967192 is an abundant number, since it is smaller than the sum of its proper divisors (51606992808).

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

28001967192 is a wasteful number, since it uses less digits than its factorization.

28001967192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5990 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 28001967192 in words is "twenty-eight billion, one million, nine hundred sixty-seven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 509 564 846 1018 1128 1269 1527 1692 2036 2538 3054 3384 4072 4581 5076 5419 6108 9162 10152 10838 12216 13743 16257 18324 21676 23923 27486 32514 36648 43352 47846 48771 54972 65028 71769 95692 97542 109944 130056 143538 146313 191384 195084 215307 254693 287076 292626 390168 430614 509386 574152 585252 645921 764079 861228 1018772 1170504 1291842 1528158 1722456 2037544 2292237 2583684 2758271 3056316 4584474 5167368 5516542 6112632 6876711 8274813 9168948 11033084 13753422 16549626 18337896 22066168 24824439 27506844 33099252 49648878 55013688 66198504 74473317 99297756 129638737 148946634 198595512 259277474 297893268 388916211 518554948 595786536 777832422 1037109896 1166748633 1555664844 2333497266 3111329688 3500245899 4666994532 7000491798 9333989064 14000983596 28001967192