48288 has 24 divisors (see below), whose sum is σ = 127008. Its totient is φ = 16064.

The previous prime is 48281. The next prime is 48299. The reversal of 48288 is 88284.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 156 + ... + 347.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁴⁸²⁸⁸ is an apocalyptic number.

48288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48288 is an abundant number, since it is smaller than the sum of its proper divisors (78720).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504).

48288 is a wasteful number, since it uses less digits than its factorization.

48288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 508 counting only the distinct ones).

The product of its digits is 4096, while the sum is 30.

The square root of 48288 is about 219.7453071171. The cubic root of 48288 is about 36.4149517933.

It can be divided in two parts, 48 and 288, that multiplied together give a cube (13824 = 24³).

The spelling of 48288 in words is "forty-eight thousand, two hundred eighty-eight".