28576 has 24 divisors (see below), whose sum is σ = 60480. Its totient is φ = 13248.

The previous prime is 28573. The next prime is 28579. The reversal of 28576 is 67582.

It is an interprime number because it is at equal distance from previous prime (28573) and next prime (28579).

It is not an unprimeable number, because it can be changed into a prime (28571) 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, 585 + ... + 631.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2²⁸⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

28576 is an abundant number, since it is smaller than the sum of its proper divisors (31904).

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

28576 is a wasteful number, since it uses less digits than its factorization.

28576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 68 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 28576 is about 169.0443728729. The cubic root of 28576 is about 30.5727012435.

It can be divided in two parts, 285 and 76, that added together give a square (361 = 19²).

The spelling of 28576 in words is "twenty-eight thousand, five hundred seventy-six".