48352919328 has 288 divisors, whose sum is σ = 167876089920. Its totient is φ = 13493329920.

The previous prime is 48352919317. The next prime is 48352919369. The reversal of 48352919328 is 82391925384.

48352919328 is a `hidden beast` number, since 4 + 8 + 3 + 529 + 1 + 93 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1807168 + ... + 1833728.

It is an arithmetic number, because the mean of its divisors is an integer number (582903090).

Almost surely, 2^48352919328 is an apocalyptic number.

48352919328 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 48352919328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83938044960).

48352919328 is an abundant number, since it is smaller than the sum of its proper divisors (119523170592).

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

48352919328 is a wasteful number, since it uses less digits than its factorization.

48352919328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26637 (or 26616 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 48352919328 in words is "forty-eight billion, three hundred fifty-two million, nine hundred nineteen thousand, three hundred twenty-eight".