853128900 has 324 divisors, whose sum is σ = 2973559680. Its totient is φ = 204422400.

The previous prime is 853128883. The next prime is 853128911. The reversal of 853128900 is 9821358.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10799061 + ... + 10799139.

Almost surely, 2^853128900 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 853128900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486779840).

853128900 is an abundant number, since it is smaller than the sum of its proper divisors (2120430780).

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

853128900 is a wasteful number, since it uses less digits than its factorization.

853128900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 853128900 is about 29208.3703756303. The cubic root of 853128900 is about 948.4291306109.

The spelling of 853128900 in words is "eight hundred fifty-three million, one hundred twenty-eight thousand, nine hundred".