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28382172 = 22372134779
BaseRepresentation
bin110110001000…
…1001111011100
31222101222000120
41230101033130
524231212142
62452154540
7463146600
oct154211734
958358016
1028382172
1115025a45
129608a50
135b597b0
143aab500
1527597ec
hex1b113dc

28382172 has 144 divisors (see below), whose sum is σ = 85800960. Its totient is φ = 7233408.

The previous prime is 28382149. The next prime is 28382177. The reversal of 28382172 is 27128382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28382177) 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, 359229 + ... + 359307.

It is an arithmetic number, because the mean of its divisors is an integer number (595840).

Almost surely, 228382172 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 28382172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42900480).

28382172 is an abundant number, since it is smaller than the sum of its proper divisors (57418788).

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

28382172 is a wasteful number, since it uses less digits than its factorization.

28382172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 151 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 28382172 is about 5327.4920929083. The cubic root of 28382172 is about 305.0342056056.

The spelling of 28382172 in words is "twenty-eight million, three hundred eighty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 47 49 52 78 79 84 91 94 98 141 147 156 158 182 188 196 237 273 282 294 316 329 364 474 546 553 564 588 611 637 658 948 987 1027 1092 1106 1222 1274 1316 1659 1833 1911 1974 2054 2212 2303 2444 2548 3081 3318 3666 3713 3822 3871 3948 4108 4277 4606 6162 6636 6909 7189 7332 7426 7644 7742 8554 9212 11139 11613 12324 12831 13818 14378 14852 15484 17108 21567 22278 23226 25662 25991 27636 28756 29939 43134 44556 46452 48269 50323 51324 51982 59878 77973 86268 89817 96538 100646 103964 119756 144807 150969 155946 179634 181937 193076 201292 289614 301938 311892 337883 359268 363874 545811 579228 603876 675766 727748 1013649 1091622 1351532 2027298 2183244 2365181 4054596 4730362 7095543 9460724 14191086 28382172