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28238760 = 23335112377
BaseRepresentation
bin110101110111…
…0001110101000
31222010200022000
41223232032220
524212120020
62445131000
7462011514
oct153561650
958120260
1028238760
1114a38220
129559a60
135b09434
143a71144
15272c090
hex1aee3a8

28238760 has 128 divisors (see below), whose sum is σ = 102729600. Its totient is φ = 6842880.

The previous prime is 28238741. The next prime is 28238767. The reversal of 28238760 is 6783282.

28238760 = T115 + T116 + ... + T554.

It is a happy number.

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 (28238767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10692 + ... + 13068.

It is an arithmetic number, because the mean of its divisors is an integer number (802575).

Almost surely, 228238760 is an apocalyptic number.

28238760 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 28238760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51364800).

28238760 is an abundant number, since it is smaller than the sum of its proper divisors (74490840).

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

28238760 is a wasteful number, since it uses less digits than its factorization.

28238760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 28238760 is about 5314.0154309147. The cubic root of 28238760 is about 304.5195697098.

The spelling of 28238760 in words is "twenty-eight million, two hundred thirty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2377 2970 3960 4754 5940 7131 9508 11880 11885 14262 19016 21393 23770 26147 28524 35655 42786 47540 52294 57048 64179 71310 78441 85572 95080 104588 106965 128358 130735 142620 156882 171144 209176 213930 235323 256716 261470 285240 313764 320895 392205 427860 470646 513432 522940 627528 641790 705969 784410 855720 941292 1045880 1176615 1283580 1411938 1568820 1882584 2353230 2567160 2823876 3137640 3529845 4706460 5647752 7059690 9412920 14119380 28238760