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28018368 = 263276949
BaseRepresentation
bin110101011100…
…0011011000000
31221201110222100
41222320123000
524133041433
62440310400
7460103130
oct152703300
957643870
1028018368
11148a7684
129472400
135a60021
143a14ac0
1526d6b13
hex1ab86c0

28018368 has 84 divisors (see below), whose sum is σ = 91795600. Its totient is φ = 8004096.

The previous prime is 28018343. The next prime is 28018387. The reversal of 28018368 is 86381082.

28018368 is a `hidden beast` number, since 280 + 18 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 558 + ... + 7506.

Almost surely, 228018368 is an apocalyptic number.

28018368 is a gapful number since it is divisible by the number (28) 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 28018368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45897800).

28018368 is an abundant number, since it is smaller than the sum of its proper divisors (63777232).

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

28018368 is a wasteful number, since it uses less digits than its factorization.

28018368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 28018368 is about 5293.2379504421. The cubic root of 28018368 is about 303.7252827522.

The spelling of 28018368 in words is "twenty-eight million, eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 6949 13898 20847 27796 41694 48643 55592 62541 83388 97286 111184 125082 145929 166776 194572 222368 250164 291858 333552 389144 437787 444736 500328 583716 667104 778288 875574 1000656 1167432 1334208 1556576 1751148 2001312 2334864 3113152 3502296 4002624 4669728 7004592 9339456 14009184 28018368