828314816 has 112 divisors (see below), whose sum is σ = 1941576000. Its totient is φ = 350429184.

The previous prime is 828314797. The next prime is 828314833. The reversal of 828314816 is 618413828.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×828314816² = 1372210868810227712, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2129150 + ... + 2129538.

It is an arithmetic number, because the mean of its divisors is an integer number (17335500).

Almost surely, 2^828314816 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 828314816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970788000).

828314816 is an abundant number, since it is smaller than the sum of its proper divisors (1113261184).

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

828314816 is an equidigital number, since it uses as much as digits as its factorization.

828314816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 495 counting only the distinct ones).

The product of its digits is 73728, while the sum is 41.

The square root of 828314816 is about 28780.4589261533. The cubic root of 828314816 is about 939.1431818174.

The spelling of 828314816 in words is "eight hundred twenty-eight million, three hundred fourteen thousand, eight hundred sixteen".