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28083132 = 22337112307
BaseRepresentation
bin110101100100…
…0001110111100
31221211202211000
41223020032330
524142130012
62441530300
7460463010
oct153101674
957752730
1028083132
1114941300
1294a3990
135a8364c
143a30540
1526eaddc
hex1ac83bc

28083132 has 144 divisors (see below), whose sum is σ = 91759360. Its totient is φ = 7270560.

The previous prime is 28083109. The next prime is 28083137. The reversal of 28083132 is 23138082.

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

It is a junction number, because it is equal to n+sod(n) for n = 28083096 and 28083105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28083137) 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, 91323 + ... + 91629.

Almost surely, 228083132 is an apocalyptic number.

28083132 is a gapful number since it is divisible by the number (22) 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 28083132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45879680).

28083132 is an abundant number, since it is smaller than the sum of its proper divisors (63676228).

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

28083132 is a wasteful number, since it uses less digits than its factorization.

28083132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28083132 is about 5299.3520358625. The cubic root of 28083132 is about 303.9591213500.

The spelling of 28083132 in words is "twenty-eight million, eighty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 121 126 132 154 189 198 231 242 252 297 307 308 363 378 396 462 484 594 614 693 726 756 847 921 924 1089 1188 1228 1386 1452 1694 1842 2079 2149 2178 2541 2763 2772 3267 3377 3388 3684 4158 4298 4356 5082 5526 6447 6534 6754 7623 8289 8316 8596 10131 10164 11052 12894 13068 13508 15246 16578 19341 20262 22869 23639 25788 30393 30492 33156 37147 38682 40524 45738 47278 58023 60786 70917 74294 77364 91179 91476 94556 111441 116046 121572 141834 148588 182358 212751 222882 232092 260029 283668 334323 364716 425502 445764 520058 638253 668646 780087 851004 1002969 1040116 1276506 1337292 1560174 2005938 2340261 2553012 3120348 4011876 4680522 7020783 9361044 14041566 28083132