28448 has 24 divisors (see below), whose sum is σ = 64512. Its totient is φ = 12096.

The previous prime is 28447. The next prime is 28463. The reversal of 28448 is 84482.

28448 is nontrivially palindromic in base 15.

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

It is a plaindrome in base 12.

It is a nialpdrome in base 13 and base 14.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (28447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (2688).

2²⁸⁴⁴⁸ is an apocalyptic number.

28448 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 28448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32256).

28448 is an abundant number, since it is smaller than the sum of its proper divisors (36064).

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

28448 is a wasteful number, since it uses less digits than its factorization.

With its successor (28449) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (144).

28448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 28448 is about 168.6653491385. The cubic root of 28448 is about 30.5269849865.

It can be divided in two parts, 28 and 448, that multiplied together give a square (12544 = 112²).

The spelling of 28448 in words is "twenty-eight thousand, four hundred forty-eight".