828290920 has 16 divisors (see below), whose sum is σ = 1863654660. Its totient is φ = 331316352.

The previous prime is 828290893. The next prime is 828290929. The reversal of 828290920 is 29092828.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 772728804 + 55562116 = 27798^2 + 7454^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 20707273 = 828290920 / (8 + 2 + 8 + 2 + 9 + 0 + 9 + 2 + 0).

It is not an unprimeable number, because it can be changed into a prime (828290929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10353597 + ... + 10353676.

Almost surely, 2^828290920 is an apocalyptic number.

It is an amenable number.

828290920 is an abundant number, since it is smaller than the sum of its proper divisors (1035363740).

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

828290920 is a wasteful number, since it uses less digits than its factorization.

828290920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20707284 (or 20707280 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 828290920 is about 28780.0437803698. The cubic root of 828290920 is about 939.1341506371.

The spelling of 828290920 in words is "eight hundred twenty-eight million, two hundred ninety thousand, nine hundred twenty".