48738 has 8 divisors (see below), whose sum is σ = 97488. Its totient is φ = 16244.

The previous prime is 48733. The next prime is 48751. The reversal of 48738 is 83784.

It is a sphenic number, since it is the product of 3 distinct primes.

48738 is an admirable number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (48731) by changing a digit.

48738 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4056 + ... + 4067.

It is an arithmetic number, because the mean of its divisors is an integer number (12186).

2⁴⁸⁷³⁸ is an apocalyptic number.

48738 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (48744).

48738 is a wasteful number, since it uses less digits than its factorization.

48738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128.

The product of its digits is 5376, while the sum is 30.

The square root of 48738 is about 220.7668453369. The cubic root of 48738 is about 36.5277202321.

It can be divided in two parts, 487 and 38, that added together give a palindrome (525).

The spelling of 48738 in words is "forty-eight thousand, seven hundred thirty-eight".