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28011744 = 2534101107
BaseRepresentation
bin110101011011…
…0110011100000
31221201010220000
41222312303200
524132333434
62440220000
7460044615
oct152666340
957633800
1028011744
11148a2702
12946a600
135a59cc7
143a1250c
1526d4b99
hex1ab6ce0

28011744 has 120 divisors (see below), whose sum is σ = 83974968. Its totient is φ = 9158400.

The previous prime is 28011721. The next prime is 28011761. The reversal of 28011744 is 44711082.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 261739 + ... + 261845.

Almost surely, 228011744 is an apocalyptic number.

28011744 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 28011744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41987484).

28011744 is an abundant number, since it is smaller than the sum of its proper divisors (55963224).

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

28011744 is a wasteful number, since it uses less digits than its factorization.

28011744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 28011744 is about 5292.6122094860. The cubic root of 28011744 is about 303.7013456592.

The spelling of 28011744 in words is "twenty-eight million, eleven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 101 107 108 144 162 202 214 216 288 303 321 324 404 428 432 606 642 648 808 856 864 909 963 1212 1284 1296 1616 1712 1818 1926 2424 2568 2592 2727 2889 3232 3424 3636 3852 4848 5136 5454 5778 7272 7704 8181 8667 9696 10272 10807 10908 11556 14544 15408 16362 17334 21614 21816 23112 29088 30816 32421 32724 34668 43228 43632 46224 64842 65448 69336 86456 87264 92448 97263 129684 130896 138672 172912 194526 259368 261792 277344 291789 345824 389052 518736 583578 778104 875367 1037472 1167156 1556208 1750734 2334312 3112416 3501468 4668624 7002936 9337248 14005872 28011744