128048256 has 256 divisors, whose sum is σ = 443904000. Its totient is φ = 35582976.

The previous prime is 128048251. The next prime is 128048273. The reversal of 128048256 is 652840821.

128048256 is a `hidden beast` number, since 128 + 0 + 482 + 56 = 666.

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 128048256.

It is not an unprimeable number, because it can be changed into a prime (128048251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1620825 + ... + 1620903.

It is an arithmetic number, because the mean of its divisors is an integer number (1734000).

Almost surely, 2^128048256 is an apocalyptic number.

128048256 is a gapful number since it is divisible by the number (16) 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 128048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221952000).

128048256 is an abundant number, since it is smaller than the sum of its proper divisors (315855744).

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

128048256 is an equidigital number, since it uses as much as digits as its factorization.

128048256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

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

The square root of 128048256 is about 11315.8409320739. The cubic root of 128048256 is about 504.0317440323.

The spelling of 128048256 in words is "one hundred twenty-eight million, forty-eight thousand, two hundred fifty-six".