48117888 has 384 divisors, whose sum is σ = 187125120. Its totient is φ = 11943936.

The previous prime is 48117857. The next prime is 48117889. The reversal of 48117888 is 88871184.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×48117888² = 4630662291161088, which contains 22 as substring.

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 (48117889) 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 47 ways as a sum of consecutive naturals, for example, 2830456 + ... + 2830472.

It is an arithmetic number, because the mean of its divisors is an integer number (487305).

Almost surely, 2^48117888 is an apocalyptic number.

48117888 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 48117888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93562560).

48117888 is an abundant number, since it is smaller than the sum of its proper divisors (139007232).

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

48117888 is a wasteful number, since it uses less digits than its factorization.

48117888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 42 counting only the distinct ones).

The product of its digits is 114688, while the sum is 45.

The square root of 48117888 is about 6936.7058464375. The cubic root of 48117888 is about 363.7213985376.

The spelling of 48117888 in words is "forty-eight million, one hundred seventeen thousand, eight hundred eighty-eight".