28960 has 24 divisors (see below), whose sum is σ = 68796. Its totient is φ = 11520.

The previous prime is 28949. The next prime is 28961. The reversal of 28960 is 6982.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 4624 = 156^2 + 68^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (28961) by changing a digit.

28960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70 + ... + 250.

2²⁸⁹⁶⁰ is an apocalyptic number.

28960 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 28960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34398).

28960 is an abundant number, since it is smaller than the sum of its proper divisors (39836).

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

28960 is a wasteful number, since it uses less digits than its factorization.

28960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 28960 is about 170.1763790895. The cubic root of 28960 is about 30.7090361628.

The spelling of 28960 in words is "twenty-eight thousand, nine hundred sixty".