48888 has 48 divisors (see below), whose sum is σ = 152880. Its totient is φ = 13824.

The previous prime is 48883. The next prime is 48889. The reversal of 48888 is 88884.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

48888 is a modest number, since divided by 888 gives 48 as remainder.

It is a plaindrome in base 10.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48888.

It is not an unprimeable number, because it can be changed into a prime (48883) by changing a digit.

48888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 456 + ... + 552.

It is an arithmetic number, because the mean of its divisors is an integer number (3185).

2⁴⁸⁸⁸⁸ 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 48888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440).

48888 is an abundant number, since it is smaller than the sum of its proper divisors (103992).

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

48888 is a wasteful number, since it uses less digits than its factorization.

48888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 48888 is about 221.1063092723. The cubic root of 48888 is about 36.5651554065.

It can be divided in two parts, 488 and 88, that added together give a square (576 = 24²).

The spelling of 48888 in words is "forty-eight thousand, eight hundred eighty-eight".