48120048 has 160 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 14724864.

The previous prime is 48120043. The next prime is 48120049. The reversal of 48120048 is 84002184.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48120041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288061 + ... + 288227.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^48120048 is an apocalyptic number.

48120048 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 48120048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

48120048 is an abundant number, since it is smaller than the sum of its proper divisors (101870352).

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

48120048 is a wasteful number, since it uses less digits than its factorization.

48120048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 48120048 is about 6936.8615381886. The cubic root of 48120048 is about 363.7268409105.

The spelling of 48120048 in words is "forty-eight million, one hundred twenty thousand, forty-eight".