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428568210 = 23257313883
BaseRepresentation
bin11001100010110…
…110111010010010
31002212102112001200
4121202312322102
51334203140320
6110305412030
713422525000
oct3142667222
91085375050
10428568210
111aaa08704
12bb63a016
136aa34975
1440cbda70
1527958290
hex198b6e92

428568210 has 96 divisors (see below), whose sum is σ = 1299542400. Its totient is φ = 97951392.

The previous prime is 428568209. The next prime is 428568221. The reversal of 428568210 is 12865824.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23929 + ... + 37811.

It is an arithmetic number, because the mean of its divisors is an integer number (13536900).

Almost surely, 2428568210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428568210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649771200).

428568210 is an abundant number, since it is smaller than the sum of its proper divisors (870974190).

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

428568210 is a wasteful number, since it uses less digits than its factorization.

428568210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13917 (or 13900 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 428568210 is about 20701.8890442394. The cubic root of 428568210 is about 753.9455537427.

The spelling of 428568210 in words is "four hundred twenty-eight million, five hundred sixty-eight thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 343 441 490 630 686 735 882 1029 1470 1715 2058 2205 3087 3430 4410 5145 6174 10290 13883 15435 27766 30870 41649 69415 83298 97181 124947 138830 194362 208245 249894 291543 416490 485905 583086 624735 680267 874629 971810 1249470 1360534 1457715 1749258 2040801 2915430 3401335 4081602 4373145 4761869 6122403 6802670 8746290 9523738 10204005 12244806 14285607 20408010 23809345 28571214 30612015 42856821 47618690 61224030 71428035 85713642 142856070 214284105 428568210