28672 has 26 divisors (see below), whose sum is σ = 65528. Its totient is φ = 12288.

The previous prime is 28669. The next prime is 28687. The reversal of 28672 is 27682.

28672 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a nialpdrome in base 2, base 8, base 14 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4093 + ... + 4099.

28672 is a Friedman number, since it can be written as 7*(8*(6+2))^2, using all its digits and the basic arithmetic operations.

2²⁸⁶⁷² 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 28672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32764).

28672 is an abundant number, since it is smaller than the sum of its proper divisors (36856).

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

28672 is an frugal number, since it uses more digits than its factorization.

28672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 9 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 28672 is about 169.3280839081. The cubic root of 28672 is about 30.6068989244.

Subtracting from 28672 its reverse (27682), we obtain a triangular number (990 = T₄₄).

The spelling of 28672 in words is "twenty-eight thousand, six hundred seventy-two".