851328 has 48 divisors (see below), whose sum is σ = 2453100. Its totient is φ = 283392.

The previous prime is 851327. The next prime is 851351. The reversal of 851328 is 823158.

It is a happy number.

851328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851321) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 783 + ... + 1521.

2⁸⁵¹³²⁸ 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 851328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226550).

851328 is an abundant number, since it is smaller than the sum of its proper divisors (1601772).

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

851328 is a wasteful number, since it uses less digits than its factorization.

851328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 744 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 851328 is about 922.6743737636. The cubic root of 851328 is about 94.7761302933.

The spelling of 851328 in words is "eight hundred fifty-one thousand, three hundred twenty-eight".