48524041728 has 240 divisors, whose sum is σ = 142623795600. Its totient is φ = 15879536640.

The previous prime is 48524041723. The next prime is 48524041729. The reversal of 48524041728 is 82714042584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48524041723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73409718 + ... + 73410378.

It is an arithmetic number, because the mean of its divisors is an integer number (594265815).

Almost surely, 2^48524041728 is an apocalyptic number.

48524041728 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 48524041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71311897800).

48524041728 is an abundant number, since it is smaller than the sum of its proper divisors (94099753872).

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

48524041728 is a wasteful number, since it uses less digits than its factorization.

48524041728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 48524041728 in words is "forty-eight billion, five hundred twenty-four million, forty-one thousand, seven hundred twenty-eight".