28700 has 36 divisors (see below), whose sum is σ = 72912. Its totient is φ = 9600.

The previous prime is 28697. The next prime is 28703. The reversal of 28700 is 782.

28700 = T₁₅ + T₁₆ + ... + T₅₅.

28700 = 61² + 62² + ... + 67².

28700 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (28697) and next prime (28703).

28700 is strictly pandigital in base 6.

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28703) 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, 680 + ... + 720.

2²⁸⁷⁰⁰ is an apocalyptic number.

28700 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 28700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36456).

28700 is an abundant number, since it is smaller than the sum of its proper divisors (44212).

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

28700 is a wasteful number, since it uses less digits than its factorization.

28700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 28700 is about 169.4107434610. The cubic root of 28700 is about 30.6168588661.

It can be divided in two parts, 28 and 700, that multiplied together give a square (19600 = 140²).

The spelling of 28700 in words is "twenty-eight thousand, seven hundred".