28224 has 63 divisors (see below), whose sum is σ = 94107. Its totient is φ = 8064.

The previous prime is 28219. The next prime is 28229. The reversal of 28224 is 42282.

Multipling 28224 by its product of digits (256), we get a square (7225344 = 2688^{2}).

It can be divided in two parts, 28 and 224, that added together give a palindrome (252).

28224 = T_{167} + T_{168}.

The square root of 28224 is 168.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (28219) and next prime (28229).

It is a tau number, because it is divible by the number of its divisors (63).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

Its product of digits (256) is a multiple of the sum of its prime factors (32).

It is a nialpdrome in base 14.

It is a zygodrome in base 6.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 28197 and 28206.

It is not an unprimeable number, because it can be changed into a prime (28229) by changing a digit.

28224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4029 + ... + 4035.

28224 is a Friedman number, since it can be written as (28*(4+2))^2, using all its digits and the basic arithmetic operations.

2^{28224} is an apocalyptic number.

28224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

28224 is the 168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28224

28224 is an abundant number, since it is smaller than the sum of its proper divisors (65883).

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

28224 is a wasteful number, since it uses less digits than its factorization.

28224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 12 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The cubic root of 28224 is about 30.4466504441.

The spelling of 28224 in words is "twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224

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