28560096 has 72 divisors (see below), whose sum is σ = 81945864. Its totient is φ = 9434880.

The previous prime is 28560053. The next prime is 28560107. The reversal of 28560096 is 69006582.

28560096 is a `hidden beast` number, since 2 + 8 + 560 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28560096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37350 + ... + 38106.

It is an arithmetic number, because the mean of its divisors is an integer number (1138137).

Almost surely, 2^28560096 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 28560096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40972932).

28560096 is an abundant number, since it is smaller than the sum of its proper divisors (53385768).

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

28560096 is a wasteful number, since it uses less digits than its factorization.

28560096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 28560096 is about 5344.1646681217. The cubic root of 28560096 is about 305.6702843559.

The spelling of 28560096 in words is "twenty-eight million, five hundred sixty thousand, ninety-six".