948382128 has 320 divisors, whose sum is σ = 3072124800. Its totient is φ = 278691840.

The previous prime is 948382117. The next prime is 948382129. The reversal of 948382128 is 821283849.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948382129) 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 63 ways as a sum of consecutive naturals, for example, 12991500 + ... + 12991572.

It is an arithmetic number, because the mean of its divisors is an integer number (9600390).

Almost surely, 2^948382128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 948382128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536062400).

948382128 is an abundant number, since it is smaller than the sum of its proper divisors (2123742672).

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

948382128 is a wasteful number, since it uses less digits than its factorization.

948382128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 948382128 is about 30795.8134817056. The cubic root of 948382128 is about 982.4892044732.

It can be divided in two parts, 9483821 and 28, that added together give a palindrome (9483849).

The spelling of 948382128 in words is "nine hundred forty-eight million, three hundred eighty-two thousand, one hundred twenty-eight".