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285728422000 = 24537191074167
BaseRepresentation
bin1000010100001101011…
…11011011100001110000
31000022111220102202012011
410022012233123201300
514140132434001000
6335132315412304
726433421341250
oct4120657334160
91008456382164
10285728422000
111001a427753a
1247461a54094
1320c371938b8
14db87973960
1576747d32ba
hex4286bdb870

285728422000 has 160 divisors (see below), whose sum is σ = 831148231680. Its totient is φ = 92807942400.

The previous prime is 285728421967. The next prime is 285728422009. The reversal of 285728422000 is 224827582.

It is a super-2 number, since 2×2857284220002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285728422009) 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, 271084 + ... + 803083.

It is an arithmetic number, because the mean of its divisors is an integer number (5194676448).

Almost surely, 2285728422000 is an apocalyptic number.

285728422000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285728422000 is an abundant number, since it is smaller than the sum of its proper divisors (545419809680).

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

285728422000 is a wasteful number, since it uses less digits than its factorization.

285728422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074216 (or 1074200 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The spelling of 285728422000 in words is "two hundred eighty-five billion, seven hundred twenty-eight million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 35 38 40 50 56 70 76 80 95 100 112 125 133 140 152 175 190 200 250 266 280 304 350 380 400 475 500 532 560 665 700 760 875 950 1000 1064 1330 1400 1520 1750 1900 2000 2128 2375 2660 2800 3325 3500 3800 4750 5320 6650 7000 7600 9500 10640 13300 14000 16625 19000 26600 33250 38000 53200 66500 133000 266000 1074167 2148334 4296668 5370835 7519169 8593336 10741670 15038338 17186672 20409173 21483340 26854175 30076676 37595845 40818346 42966680 53708350 60153352 75191690 81636692 85933360 102045865 107416700 120306704 134270875 142864211 150383380 163273384 187979225 204091730 214833400 268541750 285728422 300766760 326546768 375958450 408183460 429666800 510229325 537083500 571456844 601533520 714321055 751916900 816366920 939896125 1020458650 1074167000 1142913688 1428642110 1503833800 1632733840 1879792250 2040917300 2148334000 2285827376 2551146625 2857284220 3007667600 3571605275 3759584500 4081834600 5102293250 5714568440 7143210550 7519169000 8163669200 10204586500 11429136880 14286421100 15038338000 17858026375 20409173000 28572842200 35716052750 40818346000 57145684400 71432105500 142864211000 285728422000