28480 has 28 divisors (see below), whose sum is σ = 68580. Its totient is φ = 11264.

The previous prime is 28477. The next prime is 28493. The reversal of 28480 is 8482.

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 20736 = 88^2 + 144^2 .

It is a super-2 number, since 2×28480² = 1622220800, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

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, 276 + ... + 364.

2²⁸⁴⁸⁰ is an apocalyptic number.

28480 is a gapful number since it is divisible by the number (20) 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 28480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34290).

28480 is an abundant number, since it is smaller than the sum of its proper divisors (40100).

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

28480 is an equidigital number, since it uses as much as digits as its factorization.

28480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 28480 is about 168.7601848778. The cubic root of 28480 is about 30.5384268860.

The spelling of 28480 in words is "twenty-eight thousand, four hundred eighty".