54288192 has 112 divisors (see below), whose sum is σ = 169582592. Its totient is φ = 14999040.

The previous prime is 54288167. The next prime is 54288209. The reversal of 54288192 is 29188245.

54288192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 54288192.

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 15 ways as a sum of consecutive naturals, for example, 41013 + ... + 42315.

Almost surely, 2^54288192 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 54288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84791296).

54288192 is an abundant number, since it is smaller than the sum of its proper divisors (115294400).

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

54288192 is a wasteful number, since it uses less digits than its factorization.

54288192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1346 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 54288192 is about 7368.0521170795. The cubic root of 54288192 is about 378.6475281826.

The spelling of 54288192 in words is "fifty-four million, two hundred eighty-eight thousand, one hundred ninety-two".