853005328 has 160 divisors (see below), whose sum is σ = 2099865600. Its totient is φ = 334172160.

The previous prime is 853005317. The next prime is 853005401. The reversal of 853005328 is 823500358.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 853005293 and 853005302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3825025 + ... + 3825247.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2^853005328 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 853005328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049932800).

853005328 is an abundant number, since it is smaller than the sum of its proper divisors (1246860272).

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

853005328 is a wasteful number, since it uses less digits than its factorization.

853005328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 853005328 is about 29206.2549465008. The cubic root of 853005328 is about 948.3833364589.

The spelling of 853005328 in words is "eight hundred fifty-three million, five thousand, three hundred twenty-eight".