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28006344 = 23331729263
BaseRepresentation
bin110101011010…
…1011111001000
31221200212111000
41222311133020
524132200334
62440135000
7460023102
oct152653710
957625430
1028006344
1114899643
129467460
135a57702
143a10572
1526d3299
hex1ab57c8

28006344 has 128 divisors (see below), whose sum is σ = 85536000. Its totient is φ = 8451072.

The previous prime is 28006343. The next prime is 28006409. The reversal of 28006344 is 44360082.

28006344 is a `hidden beast` number, since 28 + 0 + 0 + 634 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (28006343) 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, 106357 + ... + 106619.

It is an arithmetic number, because the mean of its divisors is an integer number (668250).

Almost surely, 228006344 is an apocalyptic number.

28006344 is a gapful number since it is divisible by the number (24) 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 28006344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42768000).

28006344 is an abundant number, since it is smaller than the sum of its proper divisors (57529656).

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

28006344 is a wasteful number, since it uses less digits than its factorization.

28006344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 28006344 is about 5292.1020398326. The cubic root of 28006344 is about 303.6818289325.

The spelling of 28006344 in words is "twenty-eight million, six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 29 34 36 51 54 58 68 72 87 102 108 116 136 153 174 204 216 232 261 263 306 348 408 459 493 522 526 612 696 783 789 918 986 1044 1052 1224 1479 1566 1578 1836 1972 2088 2104 2367 2958 3132 3156 3672 3944 4437 4471 4734 5916 6264 6312 7101 7627 8874 8942 9468 11832 13311 13413 14202 15254 17748 17884 18936 22881 26622 26826 28404 30508 35496 35768 40239 45762 53244 53652 56808 61016 68643 80478 91524 106488 107304 120717 129659 137286 160956 183048 205929 241434 259318 274572 321912 388977 411858 482868 518636 549144 777954 823716 965736 1037272 1166931 1555908 1647432 2333862 3111816 3500793 4667724 7001586 9335448 14003172 28006344