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28281540 = 22357172233
BaseRepresentation
bin110101111100…
…0101011000100
31222012211222110
41223320223010
524220002130
62450101020
7462250320
oct153705304
958184873
1028281540
1114a67381
12957a770
135b22a51
143a82980
152739ab0
hex1af8ac4

28281540 has 144 divisors (see below), whose sum is σ = 96550272. Its totient is φ = 6057984.

The previous prime is 28281511. The next prime is 28281553. The reversal of 28281540 is 4518282.

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 = 28281498 and 28281507.

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 47 ways as a sum of consecutive naturals, for example, 121264 + ... + 121496.

It is an arithmetic number, because the mean of its divisors is an integer number (670488).

Almost surely, 228281540 is an apocalyptic number.

28281540 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 28281540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48275136).

28281540 is an abundant number, since it is smaller than the sum of its proper divisors (68268732).

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

28281540 is a wasteful number, since it uses less digits than its factorization.

28281540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 28281540 is about 5318.0391123045. The cubic root of 28281540 is about 304.6732683162.

The spelling of 28281540 in words is "twenty-eight million, two hundred eighty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 233 238 255 289 340 357 420 466 476 510 578 595 699 714 867 932 1020 1156 1165 1190 1398 1428 1445 1631 1734 1785 2023 2330 2380 2796 2890 3262 3468 3495 3570 3961 4046 4335 4660 4893 5780 6069 6524 6990 7140 7922 8092 8155 8670 9786 10115 11883 12138 13980 15844 16310 17340 19572 19805 20230 23766 24276 24465 27727 30345 32620 39610 40460 47532 48930 55454 59415 60690 67337 79220 83181 97860 110908 118830 121380 134674 138635 166362 202011 237660 269348 277270 332724 336685 404022 415905 471359 554540 673370 808044 831810 942718 1010055 1346740 1414077 1663620 1885436 2020110 2356795 2828154 4040220 4713590 5656308 7070385 9427180 14140770 28281540