48034128 has 80 divisors (see below), whose sum is σ = 134912000. Its totient is φ = 14670720.

The previous prime is 48034099. The next prime is 48034193. The reversal of 48034128 is 82143084.

48034128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48034095 and 48034104.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27423 + ... + 29121.

It is an arithmetic number, because the mean of its divisors is an integer number (1686400).

Almost surely, 2^48034128 is an apocalyptic number.

48034128 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 48034128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67456000).

48034128 is an abundant number, since it is smaller than the sum of its proper divisors (86877872).

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

48034128 is a wasteful number, since it uses less digits than its factorization.

48034128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 48034128 is about 6930.6657688854. The cubic root of 48034128 is about 363.5102296774.

The spelling of 48034128 in words is "forty-eight million, thirty-four thousand, one hundred twenty-eight".