828748944 has 45 divisors (see below), whose sum is σ = 2320313203. Its totient is φ = 276134496.

The previous prime is 828748937. The next prime is 828748951. The reversal of 828748944 is 449847828.

The square root of 828748944 is 28788.

It is a perfect power (a square), and thus also a powerful number.

828748944 is a `hidden beast` number, since 82 + 87 + 489 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (828748937) and next prime (828748951).

It is a super-2 number, since 2×828748944² = 1373649624362230272, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 344257 + ... + 346655.

Almost surely, 2^828748944 is an apocalyptic number.

828748944 is the 28788-th square number.

It is an amenable number.

828748944 is an abundant number, since it is smaller than the sum of its proper divisors (1491564259).

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

828748944 is an equidigital number, since it uses as much as digits as its factorization.

828748944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 2404 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The cubic root of 828748944 is about 939.3072245767.

The spelling of 828748944 in words is "eight hundred twenty-eight million, seven hundred forty-eight thousand, nine hundred forty-four".