854800128 has 432 divisors, whose sum is σ = 3166532096. Its totient is φ = 223948800.

The previous prime is 854800109. The next prime is 854800189. The reversal of 854800128 is 821008458.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 854800092 and 854800101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5660853 + ... + 5661003.

Almost surely, 2^854800128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583266048).

854800128 is an abundant number, since it is smaller than the sum of its proper divisors (2311731968).

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

854800128 is a wasteful number, since it uses less digits than its factorization.

854800128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 854800128 is about 29236.9650955772. The cubic root of 854800128 is about 949.0480317890.

The spelling of 854800128 in words is "eight hundred fifty-four million, eight hundred thousand, one hundred twenty-eight".