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28218792 = 23372367109
BaseRepresentation
bin110101110100…
…1010110101000
31222002122220110
41223221112220
524211000132
62444454320
7461566350
oct153512650
958078813
1028218792
1114a24218
12954a3a0
135b00314
143a67b60
1527261cc
hex1ae95a8

28218792 has 128 divisors (see below), whose sum is σ = 86169600. Its totient is φ = 7527168.

The previous prime is 28218791. The next prime is 28218809. The reversal of 28218792 is 29781282.

It is a self number, because there is not a number n which added to its sum of digits gives 28218792.

It is not an unprimeable number, because it can be changed into a prime (28218791) 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 31 ways as a sum of consecutive naturals, for example, 258834 + ... + 258942.

It is an arithmetic number, because the mean of its divisors is an integer number (673200).

Almost surely, 228218792 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 28218792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43084800).

28218792 is an abundant number, since it is smaller than the sum of its proper divisors (57950808).

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

28218792 is a wasteful number, since it uses less digits than its factorization.

28218792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 28218792 is about 5312.1362934322. The cubic root of 28218792 is about 304.4477761824.

The spelling of 28218792 in words is "twenty-eight million, two hundred eighteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 67 69 84 92 109 134 138 161 168 184 201 218 268 276 322 327 402 436 469 483 536 552 644 654 763 804 872 938 966 1288 1308 1407 1526 1541 1608 1876 1932 2289 2507 2616 2814 3052 3082 3752 3864 4578 4623 5014 5628 6104 6164 7303 7521 9156 9246 10028 10787 11256 12328 14606 15042 17549 18312 18492 20056 21574 21909 29212 30084 32361 35098 36984 43148 43818 51121 52647 58424 60168 64722 70196 86296 87636 102242 105294 129444 140392 153363 167969 175272 204484 210588 258888 306726 335938 408968 421176 503907 613452 671876 1007814 1175783 1226904 1343752 2015628 2351566 3527349 4031256 4703132 7054698 9406264 14109396 28218792