Search a number
-
+
28081320192 = 28337157221
BaseRepresentation
bin11010001001110001…
…101111000100000000
32200111000221212111000
4122021301233010000
5430002304221232
620522252052000
72012611166112
oct321161570400
980430855430
1028081320192
1110a0019a542
125538464000
132856a20cc3
1415056bb3b2
15ae547b27c
hex689c6f100

28081320192 has 144 divisors (see below), whose sum is σ = 84212472960. Its totient is φ = 9228441600.

The previous prime is 28081320077. The next prime is 28081320203. The reversal of 28081320192 is 29102318082.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462142 + ... + 519362.

It is an arithmetic number, because the mean of its divisors is an integer number (584808840).

Almost surely, 228081320192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28081320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42106236480).

28081320192 is an abundant number, since it is smaller than the sum of its proper divisors (56131152768).

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

28081320192 is an equidigital number, since it uses as much as digits as its factorization.

28081320192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57317 (or 57297 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 28081320192 in words is "twenty-eight billion, eighty-one million, three hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 96 108 128 142 144 192 213 216 256 284 288 384 426 432 568 576 639 768 852 864 1136 1152 1278 1704 1728 1917 2272 2304 2556 3408 3456 3834 4544 5112 6816 6912 7668 9088 10224 13632 15336 18176 20448 27264 30672 40896 54528 57221 61344 81792 114442 122688 163584 171663 228884 245376 343326 457768 490752 514989 686652 915536 1029978 1373304 1544967 1831072 2059956 2746608 3089934 3662144 4062691 4119912 5493216 6179868 7324288 8125382 8239824 10986432 12188073 12359736 14648576 16250764 16479648 21972864 24376146 24719472 32501528 32959296 36564219 43945728 48752292 49438944 65003056 65918592 73128438 97504584 98877888 109692657 130006112 131837184 146256876 195009168 197755776 219385314 260012224 292513752 390018336 395511552 438770628 520024448 585027504 780036672 877541256 1040048896 1170055008 1560073344 1755082512 2340110016 3120146688 3510165024 4680220032 7020330048 9360440064 14040660096 28081320192