48128256 has 180 divisors, whose sum is σ = 157298064. Its totient is φ = 14515200.

The previous prime is 48128251. The next prime is 48128261. The reversal of 48128256 is 65282184.

It is an interprime number because it is at equal distance from previous prime (48128251) and next prime (48128261).

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

It is a self number, because there is not a number n which added to its sum of digits gives 48128256.

It is not an unprimeable number, because it can be changed into a prime (48128251) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227991 + ... + 228201.

Almost surely, 2^48128256 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 48128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78649032).

48128256 is an abundant number, since it is smaller than the sum of its proper divisors (109169808).

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

48128256 is a wasteful number, since it uses less digits than its factorization.

48128256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 48128256 is about 6937.4531349768. The cubic root of 48128256 is about 363.7475204422.

It can be divided in two parts, 48128 and 256, that added together give a palindrome (48384).

The spelling of 48128256 in words is "forty-eight million, one hundred twenty-eight thousand, two hundred fifty-six".