48358128 has 80 divisors (see below), whose sum is σ = 153767936. Its totient is φ = 12752640.

The previous prime is 48358127. The next prime is 48358129. The reversal of 48358128 is 82185384.

48358128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48358127) and next prime (48358129).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48358127) 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 15 ways as a sum of consecutive naturals, for example, 1168 + ... + 9903.

Almost surely, 2^48358128 is an apocalyptic number.

48358128 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 48358128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76883968).

48358128 is an abundant number, since it is smaller than the sum of its proper divisors (105409808).

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

48358128 is a wasteful number, since it uses less digits than its factorization.

48358128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11102 (or 11096 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 48358128 is about 6954.0008628127. Note that the first 3 decimals coincide. The cubic root of 48358128 is about 364.3257157809.

The spelling of 48358128 in words is "forty-eight million, three hundred fifty-eight thousand, one hundred twenty-eight".