128448000 has 240 divisors, whose sum is σ = 464720256. Its totient is φ = 34099200.

The previous prime is 128447993. The next prime is 128448011. The reversal of 128448000 is 844821.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575889 + ... + 576111.

Almost surely, 2^128448000 is an apocalyptic number.

128448000 is a gapful number since it is divisible by the number (10) 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 128448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232360128).

128448000 is an abundant number, since it is smaller than the sum of its proper divisors (336272256).

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

128448000 is an equidigital number, since it uses as much as digits as its factorization.

128448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 128448000 is about 11333.4901949929. The cubic root of 128448000 is about 504.5556984883. Note that the first 3 decimals are identical.

It can be divided in two parts, 1284 and 48000, that added together give a square (49284 = 222²).

The spelling of 128448000 in words is "one hundred twenty-eight million, four hundred forty-eight thousand".