48005807328 has 120 divisors (see below), whose sum is σ = 143498706120. Its totient is φ = 15739557120.

The previous prime is 48005807321. The next prime is 48005807363. The reversal of 48005807328 is 82370850084.

48005807328 is a `hidden beast` number, since 48 + 0 + 0 + 580 + 7 + 3 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48005807321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6303 + ... + 309921.

It is an arithmetic number, because the mean of its divisors is an integer number (1195822551).

Almost surely, 2^48005807328 is an apocalyptic number.

48005807328 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 48005807328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71749353060).

48005807328 is an abundant number, since it is smaller than the sum of its proper divisors (95492898792).

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

48005807328 is a wasteful number, since it uses less digits than its factorization.

48005807328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303702 (or 303685 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 48005807328 in words is "forty-eight billion, five million, eight hundred seven thousand, three hundred twenty-eight".