28460 has 12 divisors (see below), whose sum is σ = 59808. Its totient is φ = 11376.

The previous prime is 28447. The next prime is 28463. The reversal of 28460 is 6482.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 1423 = 28460 / (2 + 8 + 4 + 6 + 0).

It is a plaindrome in base 12.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (28463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 692 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (4984).

2²⁸⁴⁶⁰ is an apocalyptic number.

28460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28460 is an abundant number, since it is smaller than the sum of its proper divisors (31348).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29904).

28460 is a wasteful number, since it uses less digits than its factorization.

28460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 28460 is about 168.7009187883. The cubic root of 28460 is about 30.5312767038.

It can be divided in two parts, 28 and 460, that multiplied together give a triangular number (12880 = T₁₆₀).

The spelling of 28460 in words is "twenty-eight thousand, four hundred sixty".