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28909093281000 = 2335316757702781
BaseRepresentation
bin1101001001010111011000…
…01111000101110011101000
310210100200102102020112020120
412210223230033011303220
512242121310334443000
6141252353142123240
76042420165312042
oct644535417056350
9123320372215216
1028909093281000
119236306553729
1232aa938a20520
13131916754472a
1471d2c985aa92
15351ed27cd6a0
hex1a4aec3c5ce8

28909093281000 has 128 divisors (see below), whose sum is σ = 90736470639360. Its totient is φ = 7662929184000.

The previous prime is 28909093280989. The next prime is 28909093281049. The reversal of 28909093281000 is 18239090982.

28909093281000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×289090932810002 (a number of 28 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 28350391 + ... + 29352390.

It is an arithmetic number, because the mean of its divisors is an integer number (708878676870).

Almost surely, 228909093281000 is an apocalyptic number.

28909093281000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28909093281000 is an abundant number, since it is smaller than the sum of its proper divisors (61827377358360).

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

28909093281000 is a wasteful number, since it uses less digits than its factorization.

28909093281000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57702972 (or 57702958 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The spelling of 28909093281000 in words is "twenty-eight trillion, nine hundred nine billion, ninety-three million, two hundred eighty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 167 200 250 300 334 375 500 501 600 668 750 835 1000 1002 1336 1500 1670 2004 2505 3000 3340 4008 4175 5010 6680 8350 10020 12525 16700 20040 20875 25050 33400 41750 50100 62625 83500 100200 125250 167000 250500 501000 57702781 115405562 173108343 230811124 288513905 346216686 461622248 577027810 692433372 865541715 1154055620 1384866744 1442569525 1731083430 2308111240 2885139050 3462166860 4327708575 5770278100 6924333720 7212847625 8655417150 9636364427 11540556200 14425695250 17310834300 19272728854 21638542875 28851390500 28909093281 34621668600 38545457708 43277085750 48181822135 57702781000 57818186562 77090915416 86554171500 96363644270 115636373124 144545466405 173108343000 192727288540 231272746248 240909110675 289090932810 385454577080 481818221350 578181865620 722727332025 963636442700 1156363731240 1204545553375 1445454664050 1927272885400 2409091106750 2890909328100 3613636660125 4818182213500 5781818656200 7227273320250 9636364427000 14454546640500 28909093281000