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28314884432688 = 2437238344143787
BaseRepresentation
bin1100111000000100100101…
…01000001110001100110000
310201020212122222110110101220
412130002102220032030300
512202402340403321223
6140115402304225040
75651453142403140
oct634022250161460
9121225588413356
1028314884432688
119027303105107
12321374560b180
1312a510b61b3c9
146dc63a77c920
153418060926e3
hex19c092a0e330

28314884432688 has 160 divisors (see below), whose sum is σ = 88281925595136. Its totient is φ = 7644997434624.

The previous prime is 28314884432687. The next prime is 28314884432699. The reversal of 28314884432688 is 88623448841382.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28314884432687) 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, 21430470 + ... + 22713317.

Almost surely, 228314884432688 is an apocalyptic number.

28314884432688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

28314884432688 is an abundant number, since it is smaller than the sum of its proper divisors (59967041162448).

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

28314884432688 is a wasteful number, since it uses less digits than its factorization.

28314884432688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44143911 (or 44143905 counting only the distinct ones).

The product of its digits is 452984832, while the sum is 69.

The spelling of 28314884432688 in words is "twenty-eight trillion, three hundred fourteen billion, eight hundred eighty-four million, four hundred thirty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 83 84 92 112 138 161 166 168 184 249 276 322 332 336 368 483 498 552 581 644 664 966 996 1104 1162 1288 1328 1743 1909 1932 1992 2324 2576 3486 3818 3864 3984 4648 5727 6972 7636 7728 9296 11454 13363 13944 15272 22908 26726 27888 30544 40089 45816 53452 80178 91632 106904 160356 213808 320712 641424 44143787 88287574 132431361 176575148 264862722 309006509 353150296 529725444 618013018 706300592 927019527 1015307101 1059450888 1236026036 1854039054 2030614202 2118901776 2472052072 3045921303 3663934321 3708078108 4061228404 4944104144 6091842606 7107149707 7327868642 7416156216 8122456808 10991802963 12183685212 14214299414 14655737284 14832312432 16244913616 21321449121 21983605926 24367370424 25647540247 28428598828 29311474568 42642898242 43967211852 48734740848 51295080494 56857197656 58622949136 76942620741 84270489383 85285796484 87934423704 102590160988 113714395312 153885241482 168540978766 170571592968 175868847408 205180321976 252811468149 307770482964 337081957532 341143185936 410360643952 505622936298 589893425681 615540965928 674163915064 1011245872596 1179786851362 1231081931856 1348327830128 1769680277043 2022491745192 2359573702724 3539360554086 4044983490384 4719147405448 7078721108172 9438294810896 14157442216344 28314884432688