20288352 has 144 divisors (see below), whose sum is σ = 65499840. Its totient is φ = 5467392.

The previous prime is 20288339. The next prime is 20288381. The reversal of 20288352 is 25388202.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 89263 + ... + 89489.

It is an arithmetic number, because the mean of its divisors is an integer number (454860).

Almost surely, 2^20288352 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 20288352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32749920).

20288352 is an abundant number, since it is smaller than the sum of its proper divisors (45211488).

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

20288352 is a wasteful number, since it uses less digits than its factorization.

20288352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 20288352 is about 4504.2593175793. The cubic root of 20288352 is about 272.7400549969.

The spelling of 20288352 in words is "twenty million, two hundred eighty-eight thousand, three hundred fifty-two".