128530800 has 150 divisors (see below), whose sum is σ = 461403008. Its totient is φ = 34266240.

The previous prime is 128530799. The next prime is 128530807. The reversal of 128530800 is 8035821.

It is a happy number.

128530800 is a `hidden beast` number, since 128 + 530 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128530807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30417 + ... + 34383.

Almost surely, 2^128530800 is an apocalyptic number.

128530800 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 128530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230701504).

128530800 is an abundant number, since it is smaller than the sum of its proper divisors (332872208).

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

128530800 is a wasteful number, since it uses less digits than its factorization.

128530800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 128530800 is about 11337.1424971198. The cubic root of 128530800 is about 504.6640905698.

The spelling of 128530800 in words is "one hundred twenty-eight million, five hundred thirty thousand, eight hundred".