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28265040 = 24325371061
BaseRepresentation
bin110101111010…
…0101001010000
31222012000100100
41223310221100
524213440130
62445452400
7462151236
oct153645120
958160310
1028265040
1114a55a41
129571100
135b1839b
143a7a956
152734c60
hex1af4a50

28265040 has 120 divisors (see below), whose sum is σ = 97580808. Its totient is φ = 7326720.

The previous prime is 28265023. The next prime is 28265057. The reversal of 28265040 is 4056282.

28265040 = T191 + T192 + ... + T560.

28265040 is a `hidden beast` number, since 2 + 8 + 2 + 650 + 4 + 0 = 666.

28265040 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (28265023) and next prime (28265057).

It can be written as a sum of positive squares in 4 ways, for example, as 9809424 + 18455616 = 3132^2 + 4296^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 28264995 and 28265013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26110 + ... + 27170.

Almost surely, 228265040 is an apocalyptic number.

28265040 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 28265040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48790404).

28265040 is an abundant number, since it is smaller than the sum of its proper divisors (69315768).

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

28265040 is a wasteful number, since it uses less digits than its factorization.

28265040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28265040 is about 5316.4875622915. The cubic root of 28265040 is about 304.6140060214.

The spelling of 28265040 in words is "twenty-eight million, two hundred sixty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1061 1110 1332 1480 1665 1776 2122 2220 2664 2960 3183 3330 4244 4440 5305 5328 6366 6660 8488 8880 9549 10610 12732 13320 15915 16976 19098 21220 25464 26640 31830 38196 39257 42440 47745 50928 63660 76392 78514 84880 95490 117771 127320 152784 157028 190980 196285 235542 254640 314056 353313 381960 392570 471084 588855 628112 706626 763920 785140 942168 1177710 1413252 1570280 1766565 1884336 2355420 2826504 3140560 3533130 4710840 5653008 7066260 9421680 14132520 28265040