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28343061040 = 2457892772053
BaseRepresentation
bin11010011001011000…
…001100101000110000
32201011021110200102111
4122121120030220300
5431021310423130
621004242055104
72022240021010
oct323130145060
981137420374
1028343061040
1111024a12298
1255b004a494
132899014748
14152c371c40
15b0d42e02a
hex69960ca30

28343061040 has 160 divisors (see below), whose sum is σ = 76469927040. Its totient is φ = 9569083392.

The previous prime is 28343061031. The next prime is 28343061077. The reversal of 28343061040 is 4016034382.

It is a super-4 number, since 4×283430610404 (a number of 43 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28343060993 and 28343061011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13804654 + ... + 13806706.

It is an arithmetic number, because the mean of its divisors is an integer number (477937044).

Almost surely, 228343061040 is an apocalyptic number.

28343061040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28343061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38234963520).

28343061040 is an abundant number, since it is smaller than the sum of its proper divisors (48126866000).

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

28343061040 is a wasteful number, since it uses less digits than its factorization.

28343061040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 28343061040 in words is "twenty-eight billion, three hundred forty-three million, sixty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 89 112 140 178 277 280 356 445 554 560 623 712 890 1108 1246 1385 1424 1780 1939 2053 2216 2492 2770 3115 3560 3878 4106 4432 4984 5540 6230 7120 7756 8212 9695 9968 10265 11080 12460 14371 15512 16424 19390 20530 22160 24653 24920 28742 31024 32848 38780 41060 49306 49840 57484 71855 77560 82120 98612 114968 123265 143710 155120 164240 172571 182717 197224 229936 246530 287420 345142 365434 394448 493060 568681 574840 690284 730868 862855 913585 986120 1137362 1149680 1279019 1380568 1461736 1725710 1827170 1972240 2274724 2558038 2761136 2843405 2923472 3451420 3654340 3980767 4549448 5116076 5686810 6395095 6902840 7308680 7961534 9098896 10232152 11373620 12790190 13805680 14617360 15923068 19903835 20464304 22747240 25580380 31846136 39807670 45494480 50612609 51160760 63692272 79615340 101225218 102321520 159230680 202450436 253063045 318461360 354288263 404900872 506126090 708576526 809801744 1012252180 1417153052 1771441315 2024504360 2834306104 3542882630 4049008720 5668612208 7085765260 14171530520 28343061040