28600 has 48 divisors (see below), whose sum is σ = 78120. Its totient is φ = 9600.

The previous prime is 28597. The next prime is 28603. The reversal of 28600 is 682.

It is an interprime number because it is at equal distance from previous prime (28597) and next prime (28603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2194 + ... + 2206.

2²⁸⁶⁰⁰ is an apocalyptic number.

28600 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 28600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060).

28600 is an abundant number, since it is smaller than the sum of its proper divisors (49520).

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

28600 is a wasteful number, since it uses less digits than its factorization.

28600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 28600 is about 169.1153452529. The cubic root of 28600 is about 30.5812578353.

The spelling of 28600 in words is "twenty-eight thousand, six hundred".