48382828384 has 96 divisors (see below), whose sum is σ = 105014448000. Its totient is φ = 21760358400.

The previous prime is 48382828363. The next prime is 48382828411.

48382828384 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13825867 + ... + 13829365.

It is an arithmetic number, because the mean of its divisors is an integer number (1093900500).

Almost surely, 2^48382828384 is an apocalyptic number.

48382828384 is a gapful number since it is divisible by the number (44) 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 48382828384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52507224000).

48382828384 is an abundant number, since it is smaller than the sum of its proper divisors (56631619616).

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

48382828384 is a wasteful number, since it uses less digits than its factorization.

48382828384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3916 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 58.

The spelling of 48382828384 in words is "forty-eight billion, three hundred eighty-two million, eight hundred twenty-eight thousand, three hundred eighty-four".