28000224 has 288 divisors, whose sum is σ = 103783680. Its totient is φ = 6967296.

The previous prime is 28000187. The next prime is 28000237. The reversal of 28000224 is 42200082.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 28000197 and 28000206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651147 + ... + 651189.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 2^28000224 is an apocalyptic number.

28000224 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 28000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

28000224 is an abundant number, since it is smaller than the sum of its proper divisors (75783456).

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

28000224 is a wasteful number, since it uses less digits than its factorization.

28000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 91 counting only the distinct ones).

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

The square root of 28000224 is about 5291.5237880973. The cubic root of 28000224 is about 303.6597069425.

It can be divided in two parts, 28000 and 224, that added together give a square (28224 = 168²).

The spelling of 28000224 in words is "twenty-eight million, two hundred twenty-four", and thus it is an aban number.