850728648 has 128 divisors (see below), whose sum is σ = 2791296000. Its totient is φ = 209329920.

The previous prime is 850728647. The next prime is 850728653. The reversal of 850728648 is 846827058.

It is a junction number, because it is equal to n+sod(n) for n = 850728597 and 850728606.

It is not an unprimeable number, because it can be changed into a prime (850728647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22998 + ... + 47226.

It is an arithmetic number, because the mean of its divisors is an integer number (21807000).

Almost surely, 2^850728648 is an apocalyptic number.

850728648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850728648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395648000).

850728648 is an abundant number, since it is smaller than the sum of its proper divisors (1940567352).

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

850728648 is a wasteful number, since it uses less digits than its factorization.

850728648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24275 (or 24271 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 850728648 is about 29167.2530074397. The cubic root of 850728648 is about 947.5388363908.

The spelling of 850728648 in words is "eight hundred fifty million, seven hundred twenty-eight thousand, six hundred forty-eight".