854144928 has 432 divisors, whose sum is σ = 3165402240. Its totient is φ = 213497856.

The previous prime is 854144927. The next prime is 854144989. The reversal of 854144928 is 829441458.

854144928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (854144927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7836138 + ... + 7836246.

It is an arithmetic number, because the mean of its divisors is an integer number (7327320).

Almost surely, 2^854144928 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 854144928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582701120).

854144928 is an abundant number, since it is smaller than the sum of its proper divisors (2311257312).

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

854144928 is a wasteful number, since it uses less digits than its factorization.

854144928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 157 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 854144928 is about 29225.7579542430. The cubic root of 854144928 is about 948.8054896279.

The spelling of 854144928 in words is "eight hundred fifty-four million, one hundred forty-four thousand, nine hundred twenty-eight".