48475728000 has 384 divisors, whose sum is σ = 198962375040. Its totient is φ = 11079936000.

The previous prime is 48475727999. The next prime is 48475728001. The reversal of 48475728000 is 82757484.

It is an interprime number because it is at equal distance from previous prime (48475727999) and next prime (48475728001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (48475728001) 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 47 ways as a sum of consecutive naturals, for example, 983955 + ... + 1032045.

It is an arithmetic number, because the mean of its divisors is an integer number (518131185).

Almost surely, 2^48475728000 is an apocalyptic number.

48475728000 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 48475728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99481187520).

48475728000 is an abundant number, since it is smaller than the sum of its proper divisors (150486647040).

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

48475728000 is a wasteful number, since it uses less digits than its factorization.

48475728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48133 (or 48108 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 48475728000 in words is "forty-eight billion, four hundred seventy-five million, seven hundred twenty-eight thousand".