28006560 has 120 divisors (see below), whose sum is σ = 98885556. Its totient is φ = 7464960.

The previous prime is 28006543. The next prime is 28006591. The reversal of 28006560 is 6560082.

28006560 is a `hidden beast` number, since 2 + 8 + 0 + 0 + 656 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 1296 = 5292^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11880 + ... + 14040.

Almost surely, 2^28006560 is an apocalyptic number.

28006560 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 28006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49442778).

28006560 is an abundant number, since it is smaller than the sum of its proper divisors (70878996).

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

28006560 is a wasteful number, since it uses less digits than its factorization.

28006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 28006560 is about 5292.1224475630. The cubic root of 28006560 is about 303.6826096497.

The spelling of 28006560 in words is "twenty-eight million, six thousand, five hundred sixty".