853855128 has 256 divisors, whose sum is σ = 2899353600. Its totient is φ = 227525760.

The previous prime is 853855099. The next prime is 853855187. The reversal of 853855128 is 821558358.

853855128 is a `hidden beast` number, since 8 + 53 + 85 + 512 + 8 = 666.

853855128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×853855128² = 1458137159223792768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1495083 + ... + 1495653.

It is an arithmetic number, because the mean of its divisors is an integer number (11325600).

Almost surely, 2^853855128 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 853855128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449676800).

853855128 is an abundant number, since it is smaller than the sum of its proper divisors (2045498472).

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

853855128 is a wasteful number, since it uses less digits than its factorization.

853855128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 649 counting only the distinct ones).

The product of its digits is 384000, while the sum is 45.

The square root of 853855128 is about 29220.7995783825. The cubic root of 853855128 is about 948.6981718005.

The spelling of 853855128 in words is "eight hundred fifty-three million, eight hundred fifty-five thousand, one hundred twenty-eight".