851430528 has 160 divisors (see below), whose sum is σ = 2729186460. Its totient is φ = 261937152.

The previous prime is 851430523. The next prime is 851430529. The reversal of 851430528 is 825034158.

It is a happy number.

851430528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 825297984 + 26132544 = 28728^2 + 5112^2 .

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 = 851430492 and 851430501.

It is not an unprimeable number, because it can be changed into a prime (851430523) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 131626 + ... + 137942.

Almost surely, 2^851430528 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 851430528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364593230).

851430528 is an abundant number, since it is smaller than the sum of its proper divisors (1877755932).

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

851430528 is a wasteful number, since it uses less digits than its factorization.

851430528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 851430528 is about 29179.2825134546. The cubic root of 851430528 is about 947.7993486568.

The spelling of 851430528 in words is "eight hundred fifty-one million, four hundred thirty thousand, five hundred twenty-eight".