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28217112 = 23371115269
BaseRepresentation
bin110101110100…
…0111100011000
31222002120121020
41223220330120
524210421422
62444442440
7461561430
oct153507430
958076536
1028217112
1114a22a30
129549420
135acc621
143a672c0
15272595c
hex1ae8f18

28217112 has 64 divisors (see below), whose sum is σ = 87955200. Its totient is φ = 7328640.

The previous prime is 28217089. The next prime is 28217131. The reversal of 28217112 is 21171282.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 5787 + ... + 9482.

It is an arithmetic number, because the mean of its divisors is an integer number (1374300).

Almost surely, 228217112 is an apocalyptic number.

28217112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

28217112 is an abundant number, since it is smaller than the sum of its proper divisors (59738088).

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

28217112 is a wasteful number, since it uses less digits than its factorization.

28217112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15296 (or 15292 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

The square root of 28217112 is about 5311.9781626057. The cubic root of 28217112 is about 304.4417343172.

Adding to 28217112 its reverse (21171282), we get a palindrome (49388394).

The spelling of 28217112 in words is "twenty-eight million, two hundred seventeen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 15269 30538 45807 61076 91614 106883 122152 167959 183228 213766 320649 335918 366456 427532 503877 641298 671836 855064 1007754 1175713 1282596 1343672 2015508 2351426 2565192 3527139 4031016 4702852 7054278 9405704 14108556 28217112