Search a number
-
+
28648230 = 235131729149
BaseRepresentation
bin110110101001…
…0001100100110
31222220110222120
41231102030212
524313220410
62502010410
7465335352
oct155221446
958813876
1028648230
1115197926
129716a06
135c20920
143b3a462
1527ad570
hex1b52326

28648230 has 128 divisors (see below), whose sum is σ = 81648000. Its totient is φ = 6365184.

The previous prime is 28648199. The next prime is 28648237. The reversal of 28648230 is 3284682.

It is a junction number, because it is equal to n+sod(n) for n = 28648191 and 28648200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28648237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192196 + ... + 192344.

It is an arithmetic number, because the mean of its divisors is an integer number (637875).

Almost surely, 228648230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28648230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40824000).

28648230 is an abundant number, since it is smaller than the sum of its proper divisors (52999770).

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

28648230 is a wasteful number, since it uses less digits than its factorization.

28648230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 28648230 is about 5352.4041327239. The cubic root of 28648230 is about 305.9843855504.

It can be divided in two parts, 286 and 48230, that added together give a triangular number (48516 = T311).

The spelling of 28648230 in words is "twenty-eight million, six hundred forty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 29 30 34 39 51 58 65 78 85 87 102 130 145 149 170 174 195 221 255 290 298 377 390 435 442 447 493 510 663 745 754 870 894 986 1105 1131 1326 1479 1490 1885 1937 2210 2235 2262 2465 2533 2958 3315 3770 3874 4321 4470 4930 5066 5655 5811 6409 6630 7395 7599 8642 9685 11310 11622 12665 12818 12963 14790 15198 19227 19370 21605 25330 25926 29055 32045 32929 37995 38454 43210 56173 58110 64090 64815 65858 73457 75990 96135 98787 112346 129630 146914 164645 168519 192270 197574 220371 280865 329290 337038 367285 440742 493935 561730 734570 842595 954941 987870 1101855 1685190 1909882 2203710 2864823 4774705 5729646 9549410 14324115 28648230