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28422840 = 23354153109
BaseRepresentation
bin110110001101…
…1001010111000
31222111000210210
41230123022320
524234012330
62453111120
7463406265
oct154331270
958430723
1028422840
1115053556
1296284a0
135b72164
143abc26c
1527668b0
hex1b1b2b8

28422840 has 128 divisors (see below), whose sum is σ = 89812800. Its totient is φ = 7188480.

The previous prime is 28422839. The next prime is 28422847. The reversal of 28422840 is 4822482.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 28422798 and 28422807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28422847) 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, 260706 + ... + 260814.

Almost surely, 228422840 is an apocalyptic number.

28422840 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 28422840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44906400).

28422840 is an abundant number, since it is smaller than the sum of its proper divisors (61389960).

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

28422840 is a wasteful number, since it uses less digits than its factorization.

28422840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 28422840 is about 5331.3075319287. The cubic root of 28422840 is about 305.1798276625.

The spelling of 28422840 in words is "twenty-eight million, four hundred twenty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 53 60 82 106 109 120 123 159 164 205 212 218 246 265 318 327 328 410 424 436 492 530 545 615 636 654 795 820 872 984 1060 1090 1230 1272 1308 1590 1635 1640 2120 2173 2180 2460 2616 3180 3270 4346 4360 4469 4920 5777 6360 6519 6540 8692 8938 10865 11554 13038 13080 13407 17331 17384 17876 21730 22345 23108 26076 26814 28885 32595 34662 35752 43460 44690 46216 52152 53628 57770 65190 67035 69324 86655 86920 89380 107256 115540 130380 134070 138648 173310 178760 231080 236857 260760 268140 346620 473714 536280 693240 710571 947428 1184285 1421142 1894856 2368570 2842284 3552855 4737140 5684568 7105710 9474280 14211420 28422840