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28814112 = 2532100049
BaseRepresentation
bin110110111101…
…0101100100000
32000012220112100
41231322230200
524334022422
62505330400
7466626105
oct155725440
960186470
1028814112
11152a0518
129796a00
135c7b292
143b80aac
1527e27ac
hex1b7ab20

28814112 has 36 divisors (see below), whose sum is σ = 81940950. Its totient is φ = 9604608.

The previous prime is 28814077. The next prime is 28814129. The reversal of 28814112 is 21141882.

It can be written as a sum of positive squares in only one way, i.e., 28772496 + 41616 = 5364^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 5 ways as a sum of consecutive naturals, for example, 49737 + ... + 50312.

Almost surely, 228814112 is an apocalyptic number.

It is an amenable number.

28814112 is an abundant number, since it is smaller than the sum of its proper divisors (53126838).

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

28814112 is a wasteful number, since it uses less digits than its factorization.

28814112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100065 (or 100054 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 28814112 is about 5367.8777929457. The cubic root of 28814112 is about 306.5738303319.

Adding to 28814112 its reverse (21141882), we get a palindrome (49955994).

It can be divided in two parts, 288 and 14112, that multiplied together give a square (4064256 = 20162).

The spelling of 28814112 in words is "twenty-eight million, eight hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 100049 200098 300147 400196 600294 800392 900441 1200588 1600784 1800882 2401176 3201568 3601764 4802352 7203528 9604704 14407056 28814112