54287688 has 192 divisors, whose sum is σ = 175815360. Its totient is φ = 13837824.

The previous prime is 54287687. The next prime is 54287689. The reversal of 54287688 is 88678245.

54287688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54287687) and next prime (54287689).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (54287687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 810231 + ... + 810297.

It is an arithmetic number, because the mean of its divisors is an integer number (915705).

Almost surely, 2^54287688 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 54287688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

54287688 is an abundant number, since it is smaller than the sum of its proper divisors (121527672).

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

54287688 is a wasteful number, since it uses less digits than its factorization.

54287688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 54287688 is about 7368.0179152877. The cubic root of 54287688 is about 378.6463564180.

The spelling of 54287688 in words is "fifty-four million, two hundred eighty-seven thousand, six hundred eighty-eight".