128326000 has 160 divisors (see below), whose sum is σ = 357477120. Its totient is φ = 44064000.

The previous prime is 128325983. The next prime is 128326097. The reversal of 128326000 is 623821.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417847 + ... + 418153.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^128326000 is an apocalyptic number.

128326000 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 128326000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

128326000 is an abundant number, since it is smaller than the sum of its proper divisors (229151120).

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

128326000 is a wasteful number, since it uses less digits than its factorization.

128326000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 128326000 is about 11328.1066379162. The cubic root of 128326000 is about 504.3959054356.

Adding to 128326000 its reverse (623821), we get a palindrome (128949821).

The spelling of 128326000 in words is "one hundred twenty-eight million, three hundred twenty-six thousand".