128005800 has 96 divisors (see below), whose sum is σ = 427368480. Its totient is φ = 31507200.

The previous prime is 128005783. The next prime is 128005847. The reversal of 128005800 is 8500821.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 406 + ... + 16005.

It is an arithmetic number, because the mean of its divisors is an integer number (4451755).

Almost surely, 2^128005800 is an apocalyptic number.

128005800 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 128005800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213684240).

128005800 is an abundant number, since it is smaller than the sum of its proper divisors (299362680).

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

128005800 is a wasteful number, since it uses less digits than its factorization.

128005800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16443 (or 16434 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 128005800 is about 11313.9648222893. The cubic root of 128005800 is about 503.9760318660.

The spelling of 128005800 in words is "one hundred twenty-eight million, five thousand, eight hundred".