128442600 has 288 divisors, whose sum is σ = 507780000. Its totient is φ = 28684800.

The previous prime is 128442553. The next prime is 128442607. The reversal of 128442600 is 6244821.

128442600 = T₂₇₅ + T₂₇₆ + ... + T₉₂₄.

128442600 is a `hidden beast` number, since 12 + 8 + 4 + 42 + 600 = 666.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (128442607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 257151 + ... + 257649.

It is an arithmetic number, because the mean of its divisors is an integer number (1763125).

Almost surely, 2^128442600 is an apocalyptic number.

128442600 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 128442600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253890000).

128442600 is an abundant number, since it is smaller than the sum of its proper divisors (379337400).

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

128442600 is a wasteful number, since it uses less digits than its factorization.

128442600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 128442600 is about 11333.2519604922. The cubic root of 128442600 is about 504.5486278216.

The spelling of 128442600 in words is "one hundred twenty-eight million, four hundred forty-two thousand, six hundred".