48438288 has 60 divisors (see below), whose sum is σ = 136181760. Its totient is φ = 16072128.

The previous prime is 48438283. The next prime is 48438289. The reversal of 48438288 is 88283484.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (48438281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37233 + ... + 38511.

It is an arithmetic number, because the mean of its divisors is an integer number (2269696).

Almost surely, 2^48438288 is an apocalyptic number.

48438288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48438288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68090880).

48438288 is an abundant number, since it is smaller than the sum of its proper divisors (87743472).

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

48438288 is a wasteful number, since it uses less digits than its factorization.

48438288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1547 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 48438288 is about 6959.7620648985. The cubic root of 48438288 is about 364.5269106902.

It can be divided in two parts, 4843 and 8288, that added together give a palindrome (13131).

The spelling of 48438288 in words is "forty-eight million, four hundred thirty-eight thousand, two hundred eighty-eight".