48823000128 has 1344 divisors, whose sum is σ = 194272985088. Its totient is φ = 11824496640.

The previous prime is 48823000117. The next prime is 48823000157. The reversal of 48823000128 is 82100032884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48823000092 and 48823000101.

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 191 ways as a sum of consecutive naturals, for example, 1319540526 + ... + 1319540562.

It is an arithmetic number, because the mean of its divisors is an integer number (144548352).

Almost surely, 2^48823000128 is an apocalyptic number.

48823000128 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 48823000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97136492544).

48823000128 is an abundant number, since it is smaller than the sum of its proper divisors (145449984960).

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

48823000128 is a wasteful number, since it uses less digits than its factorization.

48823000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 48823000128 in words is "forty-eight billion, eight hundred twenty-three million, one hundred twenty-eight", and thus it is an aban number.