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28187838 = 234725367
BaseRepresentation
bin110101110000…
…1110010111110
31222001002110000
41223201302332
524204002323
62444055130
7461410200
oct153416276
958032400
1028187838
1114a02a38
1295344a6
135abc1c3
143a5a770
15271be43
hex1ae1cbe

28187838 has 120 divisors (see below), whose sum is σ = 75977352. Its totient is φ = 7783776.

The previous prime is 28187807. The next prime is 28187893. The reversal of 28187838 is 83878182.

It is a happy number.

It is a super-2 number, since 2×281878382 = 1589108422228488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28187793 and 28187802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 420681 + ... + 420747.

Almost surely, 228187838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28187838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37988676).

28187838 is an abundant number, since it is smaller than the sum of its proper divisors (47789514).

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

28187838 is a wasteful number, since it uses less digits than its factorization.

28187838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 28187838 is about 5309.2219769002. The cubic root of 28187838 is about 304.3364162969.

The spelling of 28187838 in words is "twenty-eight million, one hundred eighty-seven thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 53 54 63 67 81 98 106 126 134 147 159 162 189 201 294 318 371 378 402 441 469 477 567 603 742 882 938 954 1113 1134 1206 1323 1407 1431 1809 2226 2597 2646 2814 2862 3283 3339 3551 3618 3969 4221 4293 5194 5427 6566 6678 7102 7791 7938 8442 8586 9849 10017 10653 10854 12663 15582 19698 20034 21306 23373 24857 25326 29547 30051 31959 37989 46746 49714 59094 60102 63918 70119 74571 75978 88641 95877 140238 149142 173999 177282 191754 210357 223713 265923 287631 347998 420714 447426 521997 531846 575262 671139 1043994 1342278 1565991 2013417 3131982 4026834 4697973 9395946 14093919 28187838