128563200 has 360 divisors, whose sum is σ = 491531040. Its totient is φ = 33177600.

The previous prime is 128563199. The next prime is 128563217. The reversal of 128563200 is 2365821.

128563200 is a `hidden beast` number, since 1 + 28 + 5 + 632 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4147185 + ... + 4147215.

It is an arithmetic number, because the mean of its divisors is an integer number (1365364).

Almost surely, 2^128563200 is an apocalyptic number.

128563200 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 128563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245765520).

128563200 is an abundant number, since it is smaller than the sum of its proper divisors (362967840).

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

128563200 is an equidigital number, since it uses as much as digits as its factorization.

128563200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 128563200 is about 11338.5713385770. The cubic root of 128563200 is about 504.7064921907.

The spelling of 128563200 in words is "one hundred twenty-eight million, five hundred sixty-three thousand, two hundred".