54278784 has 192 divisors, whose sum is σ = 183306240. Its totient is φ = 15095808.

The previous prime is 54278779. The next prime is 54278789. The reversal of 54278784 is 48787245.

It is an interprime number because it is at equal distance from previous prime (54278779) and next prime (54278789).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) 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 (54278789) 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, 427329 + ... + 427455.

It is an arithmetic number, because the mean of its divisors is an integer number (954720).

Almost surely, 2^54278784 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 54278784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91653120).

54278784 is an abundant number, since it is smaller than the sum of its proper divisors (129027456).

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

54278784 is a wasteful number, since it uses less digits than its factorization.

54278784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 54278784 is about 7367.4136574513. The cubic root of 54278784 is about 378.6256540474.

The spelling of 54278784 in words is "fifty-four million, two hundred seventy-eight thousand, seven hundred eighty-four".