28896 has 48 divisors (see below), whose sum is σ = 88704. Its totient is φ = 8064.

The previous prime is 28879. The next prime is 28901. The reversal of 28896 is 69882.

28896 = T₁₃ + T₁₄ + ... + T₅₅.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 2 and base 15.

It is a congruent number.

It is an unprimeable number.

28896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 651 + ... + 693.

It is an arithmetic number, because the mean of its divisors is an integer number (1848).

2²⁸⁸⁹⁶ 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 28896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352).

28896 is an abundant number, since it is smaller than the sum of its proper divisors (59808).

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

28896 is a wasteful number, since it uses less digits than its factorization.

28896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 55 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 28896 is about 169.9882348870. The cubic root of 28896 is about 30.6863977202.

The spelling of 28896 in words is "twenty-eight thousand, eight hundred ninety-six".