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28161280 = 28572449
BaseRepresentation
bin110101101101…
…1010100000000
31221222202000101
41223123110000
524202130110
62443332144
7461236600
oct153332400
957882011
1028161280
1114994a94
129521054
135ab00a4
143a50c00
15271413a
hex1adb500

28161280 has 108 divisors (see below), whose sum is σ = 78642900. Its totient is φ = 9633792.

The previous prime is 28161277. The next prime is 28161313. The reversal of 28161280 is 8216182.

It can be written as a sum of positive squares in 2 ways, for example, as 13660416 + 14500864 = 3696^2 + 3808^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62496 + ... + 62944.

It is an arithmetic number, because the mean of its divisors is an integer number (728175).

Almost surely, 228161280 is an apocalyptic number.

28161280 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 28161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39321450).

28161280 is an abundant number, since it is smaller than the sum of its proper divisors (50481620).

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

28161280 is an equidigital number, since it uses as much as digits as its factorization.

28161280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 28161280 is about 5306.7202677360. The cubic root of 28161280 is about 304.2408064304.

It can be divided in two parts, 28161 and 280, that added together give a triangular number (28441 = T238).

The spelling of 28161280 in words is "twenty-eight million, one hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 449 490 560 640 784 896 898 980 1120 1280 1568 1792 1796 1960 2240 2245 3136 3143 3592 3920 4480 4490 6272 6286 7184 7840 8960 8980 12544 12572 14368 15680 15715 17960 22001 25144 28736 31360 31430 35920 44002 50288 57472 62720 62860 71840 88004 100576 110005 114944 125720 143680 176008 201152 220010 251440 287360 352016 402304 440020 502880 574720 704032 804608 880040 1005760 1408064 1760080 2011520 2816128 3520160 4023040 5632256 7040320 14080640 28161280