48532120 has 128 divisors (see below), whose sum is σ = 137088000. Its totient is φ = 15054336.

The previous prime is 48532111. The next prime is 48532129. The reversal of 48532120 is 2123584.

It is an interprime number because it is at equal distance from previous prime (48532111) and next prime (48532129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48532129) 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 31 ways as a sum of consecutive naturals, for example, 243781 + ... + 243979.

It is an arithmetic number, because the mean of its divisors is an integer number (1071000).

Almost surely, 2^48532120 is an apocalyptic number.

48532120 is a gapful number since it is divisible by the number (40) 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 48532120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544000).

48532120 is an abundant number, since it is smaller than the sum of its proper divisors (88555880).

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

48532120 is a wasteful number, since it uses less digits than its factorization.

48532120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 48532120 is about 6966.4998385129. The cubic root of 48532120 is about 364.7621393905.

The spelling of 48532120 in words is "forty-eight million, five hundred thirty-two thousand, one hundred twenty".