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28218060 = 223251331389
BaseRepresentation
bin110101110100…
…1001011001100
31222002121220100
41223221023030
524210434220
62444451100
7461564253
oct153511314
958077810
1028218060
1114a23712
129549a90
135accba0
143a6779a
152725d90
hex1ae92cc

28218060 has 144 divisors (see below), whose sum is σ = 95397120. Its totient is φ = 6704640.

The previous prime is 28218053. The next prime is 28218061. The reversal of 28218060 is 6081282.

It is not an unprimeable number, because it can be changed into a prime (28218061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72346 + ... + 72734.

It is an arithmetic number, because the mean of its divisors is an integer number (662480).

Almost surely, 228218060 is an apocalyptic number.

28218060 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 28218060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47698560).

28218060 is an abundant number, since it is smaller than the sum of its proper divisors (67179060).

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

28218060 is a wasteful number, since it uses less digits than its factorization.

28218060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28218060 is about 5312.0673941508. The cubic root of 28218060 is about 304.4451436849.

The spelling of 28218060 in words is "twenty-eight million, two hundred eighteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 389 390 403 465 468 558 585 620 778 780 806 930 1116 1167 1170 1209 1395 1556 1612 1860 1945 2015 2334 2340 2418 2790 3501 3627 3890 4030 4668 4836 5057 5580 5835 6045 7002 7254 7780 8060 10114 11670 12059 12090 14004 14508 15171 17505 18135 20228 23340 24118 24180 25285 30342 35010 36177 36270 45513 48236 50570 60295 60684 70020 72354 72540 75855 91026 101140 108531 120590 144708 151710 156767 180885 182052 217062 227565 241180 303420 313534 361770 434124 455130 470301 542655 627068 723540 783835 910260 940602 1085310 1410903 1567670 1881204 2170620 2351505 2821806 3135340 4703010 5643612 7054515 9406020 14109030 28218060