54088288 has 48 divisors (see below), whose sum is σ = 118707120. Its totient is φ = 24109056.

The previous prime is 54088283. The next prime is 54088289. The reversal of 54088288 is 88288045.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54088283) 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 7 ways as a sum of consecutive naturals, for example, 7720 + ... + 12952.

It is an arithmetic number, because the mean of its divisors is an integer number (2473065).

Almost surely, 2^54088288 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 54088288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59353560).

54088288 is an abundant number, since it is smaller than the sum of its proper divisors (64618832).

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

54088288 is a wasteful number, since it uses less digits than its factorization.

54088288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 43.

The square root of 54088288 is about 7354.4740124634. The cubic root of 54088288 is about 378.1821952323.

The spelling of 54088288 in words is "fifty-four million, eighty-eight thousand, two hundred eighty-eight".