48282128 has 40 divisors (see below), whose sum is σ = 97184256. Its totient is φ = 23212800.

The previous prime is 48282079. The next prime is 48282137. The reversal of 48282128 is 82128284.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154100 + ... + 154412.

Almost surely, 2^48282128 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 48282128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48592128).

48282128 is an abundant number, since it is smaller than the sum of its proper divisors (48902128).

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

48282128 is a wasteful number, since it uses less digits than its factorization.

48282128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its digits is 16384, while the sum is 35.

The square root of 48282128 is about 6948.5342339230. The cubic root of 48282128 is about 364.1347566908.

The spelling of 48282128 in words is "forty-eight million, two hundred eighty-two thousand, one hundred twenty-eight".