28208160 has 144 divisors (see below), whose sum is σ = 101424960. Its totient is φ = 7119360.

The previous prime is 28208153. The next prime is 28208161. The reversal of 28208160 is 6180282.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (28208161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26845 + ... + 27875.

It is an arithmetic number, because the mean of its divisors is an integer number (704340).

Almost surely, 2^28208160 is an apocalyptic number.

28208160 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 28208160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50712480).

28208160 is an abundant number, since it is smaller than the sum of its proper divisors (73216800).

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

28208160 is a wasteful number, since it uses less digits than its factorization.

28208160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28208160 is about 5311.1354718177. The cubic root of 28208160 is about 304.4095357625.

The spelling of 28208160 in words is "twenty-eight million, two hundred eight thousand, one hundred sixty".