128426000 has 80 divisors (see below), whose sum is σ = 313276080. Its totient is φ = 50918400.

The previous prime is 128425987. The next prime is 128426003. The reversal of 128426000 is 624821.

It can be written as a sum of positive squares in 8 ways, for example, as 26173456 + 102252544 = 5116^2 + 10112^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (128426003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313796 + ... + 314204.

It is an arithmetic number, because the mean of its divisors is an integer number (3915951).

Almost surely, 2^128426000 is an apocalyptic number.

128426000 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 128426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156638040).

128426000 is an abundant number, since it is smaller than the sum of its proper divisors (184850080).

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

128426000 is a wasteful number, since it uses less digits than its factorization.

128426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 128426000 is about 11332.5195786286. The cubic root of 128426000 is about 504.5268908277.

The spelling of 128426000 in words is "one hundred twenty-eight million, four hundred twenty-six thousand".