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28257432 = 23372371103
BaseRepresentation
bin110101111001…
…0110010011000
31222011121220120
41223302302120
524213214212
62445353240
7462120120
oct153626230
958147816
1028257432
1114a50255
129568820
135b14a98
143a77c80
15273288c
hex1af2c98

28257432 has 128 divisors (see below), whose sum is σ = 86261760. Its totient is φ = 7539840.

The previous prime is 28257413. The next prime is 28257443. The reversal of 28257432 is 23475282.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 28257393 and 28257402.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 274293 + ... + 274395.

It is an arithmetic number, because the mean of its divisors is an integer number (673920).

Almost surely, 228257432 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 28257432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43130880).

28257432 is an abundant number, since it is smaller than the sum of its proper divisors (58004328).

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

28257432 is a wasteful number, since it uses less digits than its factorization.

28257432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 28257432 is about 5315.7720041401. The cubic root of 28257432 is about 304.5866729470.

The spelling of 28257432 in words is "twenty-eight million, two hundred fifty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 71 84 92 103 138 142 161 168 184 206 213 276 284 309 322 412 426 483 497 552 568 618 644 721 824 852 966 994 1236 1288 1442 1491 1633 1704 1932 1988 2163 2369 2472 2884 2982 3266 3864 3976 4326 4738 4899 5768 5964 6532 7107 7313 8652 9476 9798 11431 11928 13064 14214 14626 16583 17304 18952 19596 21939 22862 28428 29252 33166 34293 39192 43878 45724 49749 51191 56856 58504 66332 68586 87756 91448 99498 102382 132664 137172 153573 168199 175512 198996 204764 274344 307146 336398 397992 409528 504597 614292 672796 1009194 1177393 1228584 1345592 2018388 2354786 3532179 4036776 4709572 7064358 9419144 14128716 28257432