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28265688 = 23321189401
BaseRepresentation
bin110101111010…
…0110011011000
31222012001020100
41223310303120
524214000223
62445455400
7462153153
oct153646330
958161210
1028265688
1114a56480
129571560
135b18779
143a7ac9a
152735043
hex1af4cd8

28265688 has 96 divisors (see below), whose sum is σ = 84661200. Its totient is φ = 8448000.

The previous prime is 28265681. The next prime is 28265693. The reversal of 28265688 is 88656282.

28265688 is a `hidden beast` number, since 2 + 82 + 6 + 568 + 8 = 666.

It is a super-2 number, since 2×282656882 = 1597898236226688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28265681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70288 + ... + 70688.

Almost surely, 228265688 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 28265688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42330600).

28265688 is an abundant number, since it is smaller than the sum of its proper divisors (56395512).

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

28265688 is a wasteful number, since it uses less digits than its factorization.

28265688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 506 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 28265688 is about 5316.5485044341. The cubic root of 28265688 is about 304.6163338484.

The spelling of 28265688 in words is "twenty-eight million, two hundred sixty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 89 99 132 178 198 264 267 356 396 401 534 712 792 801 802 979 1068 1203 1602 1604 1958 2136 2406 2937 3204 3208 3609 3916 4411 4812 5874 6408 7218 7832 8811 8822 9624 11748 13233 14436 17622 17644 23496 26466 28872 35244 35288 35689 39699 52932 70488 71378 79398 105864 107067 142756 158796 214134 285512 317592 321201 392579 428268 642402 785158 856536 1177737 1284804 1570316 2355474 2569608 3140632 3533211 4710948 7066422 9421896 14132844 28265688