828232460 has 96 divisors (see below), whose sum is σ = 2009145600. Its totient is φ = 283933440.

The previous prime is 828232459. The next prime is 828232511. The reversal of 828232460 is 64232828.

828232460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 828232460.

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, 272831 + ... + 275849.

It is an arithmetic number, because the mean of its divisors is an integer number (20928600).

Almost surely, 2^828232460 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 828232460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004572800).

828232460 is an abundant number, since it is smaller than the sum of its proper divisors (1180913140).

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

828232460 is a wasteful number, since it uses less digits than its factorization.

828232460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 828232460 is about 28779.0281281353. The cubic root of 828232460 is about 939.1120557134.

The spelling of 828232460 in words is "eight hundred twenty-eight million, two hundred thirty-two thousand, four hundred sixty".