48831120 has 320 divisors, whose sum is σ = 189987840. Its totient is φ = 11446272.

The previous prime is 48831109. The next prime is 48831131. The reversal of 48831120 is 2113884.

It is an interprime number because it is at equal distance from previous prime (48831109) and next prime (48831131).

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

It is an unprimeable 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 63 ways as a sum of consecutive naturals, for example, 1038937 + ... + 1038983.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 2^48831120 is an apocalyptic number.

48831120 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 48831120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

48831120 is an abundant number, since it is smaller than the sum of its proper divisors (141156720).

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

48831120 is a wasteful number, since it uses less digits than its factorization.

48831120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 48831120 is about 6987.9267311557. The cubic root of 48831120 is about 365.5096901334.

The spelling of 48831120 in words is "forty-eight million, eight hundred thirty-one thousand, one hundred twenty".