28563360 has 96 divisors (see below), whose sum is σ = 102840192. Its totient is φ = 6528000.

The previous prime is 28563331. The next prime is 28563361. The reversal of 28563360 is 6336582.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (28563361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 891 + ... + 7610.

It is an arithmetic number, because the mean of its divisors is an integer number (1071252).

Almost surely, 2^28563360 is an apocalyptic number.

28563360 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 28563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51420096).

28563360 is an abundant number, since it is smaller than the sum of its proper divisors (74276832).

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

28563360 is a wasteful number, since it uses less digits than its factorization.

28563360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8526 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 28563360 is about 5344.4700392088. The cubic root of 28563360 is about 305.6819284555.

It can be divided in two parts, 2856 and 3360, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 28563360 in words is "twenty-eight million, five hundred sixty-three thousand, three hundred sixty".