828910860 has 96 divisors (see below), whose sum is σ = 2403028992. Its totient is φ = 213269760.

The previous prime is 828910843. The next prime is 828910867. The reversal of 828910860 is 68019828.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (828910867) 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, 1139817 + ... + 1140543.

It is an arithmetic number, because the mean of its divisors is an integer number (25031552).

Almost surely, 2^828910860 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 828910860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201514496).

828910860 is an abundant number, since it is smaller than the sum of its proper divisors (1574118132).

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

828910860 is a wasteful number, since it uses less digits than its factorization.

828910860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 828910860 is about 28790.8120760773. The cubic root of 828910860 is about 939.3683926647.

The spelling of 828910860 in words is "eight hundred twenty-eight million, nine hundred ten thousand, eight hundred sixty".