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28011360 = 253513672
BaseRepresentation
bin110101011011…
…0101101100000
31221201010100210
41222312231200
524132330420
62440214120
7460043526
oct152665540
957633323
1028011360
11148a2393
12946a340
135a59a90
143a12316
1526d49e0
hex1ab6b60

28011360 has 144 divisors (see below), whose sum is σ = 96462576. Its totient is φ = 6792192.

The previous prime is 28011353. The next prime is 28011367. The reversal of 28011360 is 6311082.

It is an interprime number because it is at equal distance from previous prime (28011353) and next prime (28011367).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28011367) 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 23 ways as a sum of consecutive naturals, for example, 418047 + ... + 418113.

It is an arithmetic number, because the mean of its divisors is an integer number (669879).

Almost surely, 228011360 is an apocalyptic number.

28011360 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 28011360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48231288).

28011360 is an abundant number, since it is smaller than the sum of its proper divisors (68451216).

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

28011360 is a wasteful number, since it uses less digits than its factorization.

28011360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 28011360 is about 5292.5759323792. The cubic root of 28011360 is about 303.6999578860.

The spelling of 28011360 in words is "twenty-eight million, eleven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 67 78 80 96 104 120 130 134 156 160 195 201 208 240 260 268 312 335 390 402 416 480 520 536 624 670 780 804 871 1005 1040 1072 1248 1340 1560 1608 1742 2010 2080 2144 2613 2680 3120 3216 3484 4020 4355 4489 5226 5360 6240 6432 6968 8040 8710 8978 10452 10720 13065 13467 13936 16080 17420 17956 20904 22445 26130 26934 27872 32160 34840 35912 41808 44890 52260 53868 58357 67335 69680 71824 83616 89780 104520 107736 116714 134670 139360 143648 175071 179560 209040 215472 233428 269340 291785 350142 359120 418080 430944 466856 538680 583570 700284 718240 875355 933712 1077360 1167140 1400568 1750710 1867424 2154720 2334280 2801136 3501420 4668560 5602272 7002840 9337120 14005680 28011360