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28045116 = 2235114361
BaseRepresentation
bin110101011111…
…0111100111100
31221202211200000
41222332330330
524134420431
62441034300
7460244121
oct152767474
957684600
1028045116
1114915790
129485990
135a6c258
143a20748
1526de9e6
hex1abef3c

28045116 has 144 divisors (see below), whose sum is σ = 83411328. Its totient is φ = 8164800.

The previous prime is 28045093. The next prime is 28045141. The reversal of 28045116 is 61154082.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 28045116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 459726 + ... + 459786.

Almost surely, 228045116 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 28045116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41705664).

28045116 is an abundant number, since it is smaller than the sum of its proper divisors (55366212).

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

28045116 is a wasteful number, since it uses less digits than its factorization.

28045116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 28045116 is about 5295.7639675499. The cubic root of 28045116 is about 303.8219034167.

Adding to 28045116 its reverse (61154082), we get a palindrome (89199198).

The spelling of 28045116 in words is "twenty-eight million, forty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 61 66 81 86 99 108 122 129 132 162 172 183 198 243 244 258 297 324 366 387 396 473 486 516 549 594 671 732 774 891 946 972 1098 1161 1188 1342 1419 1548 1647 1782 1892 2013 2196 2322 2623 2673 2684 2838 3294 3483 3564 4026 4257 4644 4941 5246 5346 5676 6039 6588 6966 7869 8052 8514 9882 10449 10492 10692 12078 12771 13932 14823 15738 17028 18117 19764 20898 23607 24156 25542 28853 29646 31476 36234 38313 41796 47214 51084 54351 57706 59292 70821 72468 76626 86559 94428 108702 114939 115412 141642 153252 163053 173118 212463 217404 229878 259677 283284 326106 346236 424926 459756 519354 637389 652212 779031 849852 1038708 1274778 1558062 2337093 2549556 3116124 4674186 7011279 9348372 14022558 28045116