128805600 has 576 divisors, whose sum is σ = 566963712. Its totient is φ = 24576000.

The previous prime is 128805577. The next prime is 128805647. The reversal of 128805600 is 6508821.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3141580 + ... + 3141620.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 2^128805600 is an apocalyptic number.

128805600 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 128805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283481856).

128805600 is an abundant number, since it is smaller than the sum of its proper divisors (438158112).

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

128805600 is a wasteful number, since it uses less digits than its factorization.

128805600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 128805600 is about 11349.2554821891. The cubic root of 128805600 is about 505.0234933357.

The spelling of 128805600 in words is "one hundred twenty-eight million, eight hundred five thousand, six hundred".