48993120 has 192 divisors, whose sum is σ = 187246080. Its totient is φ = 11865600.

The previous prime is 48993103. The next prime is 48993127. The reversal of 48993120 is 2139984.

48993120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48993127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47005 + ... + 48035.

It is an arithmetic number, because the mean of its divisors is an integer number (975240).

Almost surely, 2^48993120 is an apocalyptic number.

48993120 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 48993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93623040).

48993120 is an abundant number, since it is smaller than the sum of its proper divisors (138252960).

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

48993120 is a wasteful number, since it uses less digits than its factorization.

48993120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 48993120 is about 6999.5085541772. The cubic root of 48993120 is about 365.9134436542.

The spelling of 48993120 in words is "forty-eight million, nine hundred ninety-three thousand, one hundred twenty".