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28289635378280 = 23511339829157141
BaseRepresentation
bin1100110111010101100011…
…01010101110010001101000
310201011110111022220121011122
412123222301222232101220
512201444133124101110
6140100025025314412
75646600352105463
oct633526152562150
9121143438817148
1028289635378280
1190176267308a1
12320a879795a08
1312a2916613a23
146db3232c42da
15340d295c6255
hex19bab1aae468

28289635378280 has 64 divisors (see below), whose sum is σ = 64216989723600. Its totient is φ = 11215360880640.

The previous prime is 28289635378259. The next prime is 28289635378307. The reversal of 28289635378280 is 8287353698282.

It can be written as a sum of positive squares in 8 ways, for example, as 16472087850724 + 11817547527556 = 4058582^2 + 3437666^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179948510 + ... + 180105650.

Almost surely, 228289635378280 is an apocalyptic number.

28289635378280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28289635378280 is an abundant number, since it is smaller than the sum of its proper divisors (35927354345320).

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

28289635378280 is a wasteful number, since it uses less digits than its factorization.

28289635378280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197094 (or 197090 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 71.

The spelling of 28289635378280 in words is "twenty-eight trillion, two hundred eighty-nine billion, six hundred thirty-five million, three hundred seventy-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 39829 79658 157141 159316 199145 314282 318632 398290 628564 785705 796580 1257128 1571410 1593160 3142820 4500677 6285640 9001354 17756933 18002708 22503385 35513866 36005416 45006770 71027732 88784665 90013540 142055464 177569330 180027080 355138660 710277320 6258768889 12517537778 25035075556 31293844445 50070151112 62587688890 125175377780 250350755560 707240884457 1414481768914 2828963537828 3536204422285 5657927075656 7072408844570 14144817689140 28289635378280