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28844460 = 22325376171
BaseRepresentation
bin110111000001…
…0000110101100
32000021110011100
41232002012230
524341010320
62510123100
7500113431
oct156020654
960243140
1028844460
11153112a7
1297b0490
135c8c038
143b8bb88
1527eb790
hex1b821ac

28844460 has 144 divisors (see below), whose sum is σ = 92619072. Its totient is φ = 7257600.

The previous prime is 28844449. The next prime is 28844467. The reversal of 28844460 is 6444882.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28844467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406225 + ... + 406295.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 228844460 is an apocalyptic number.

28844460 is a gapful number since it is divisible by the number (20) 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 28844460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46309536).

28844460 is an abundant number, since it is smaller than the sum of its proper divisors (63774612).

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

28844460 is a wasteful number, since it uses less digits than its factorization.

28844460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 28844460 is about 5370.7038644855. The cubic root of 28844460 is about 306.6814238855.

The spelling of 28844460 in words is "twenty-eight million, eight hundred forty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 61 71 74 90 111 122 142 148 180 183 185 213 222 244 284 305 333 355 366 370 426 444 549 555 610 639 666 710 732 740 852 915 1065 1098 1110 1220 1278 1332 1420 1665 1830 2130 2196 2220 2257 2556 2627 2745 3195 3330 3660 4260 4331 4514 5254 5490 6390 6660 6771 7881 8662 9028 10508 10980 11285 12780 12993 13135 13542 15762 17324 20313 21655 22570 23643 25986 26270 27084 31524 33855 38979 39405 40626 43310 45140 47286 51972 52540 64965 67710 77958 78810 81252 86620 94572 101565 118215 129930 135420 155916 157620 160247 194895 203130 236430 259860 320494 389790 406260 472860 480741 640988 779580 801235 961482 1442223 1602470 1922964 2403705 2884446 3204940 4807410 5768892 7211115 9614820 14422230 28844460