817931828 has 48 divisors (see below), whose sum is σ = 1674376704. Its totient is φ = 342351360.

The previous prime is 817931813. The next prime is 817931831. The reversal of 817931828 is 828139718.

Together with 856444875 it forms a betrothed pair.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356501 + ... + 358787.

It is an arithmetic number, because the mean of its divisors is an integer number (34882848).

Almost surely, 2^817931828 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 817931828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837188352).

817931828 is an abundant number, since it is smaller than the sum of its proper divisors (856444876).

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

817931828 is a wasteful number, since it uses less digits than its factorization.

817931828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2590 counting only the distinct ones).

The product of its digits is 193536, while the sum is 47.

The square root of 817931828 is about 28599.5074782766. The cubic root of 817931828 is about 935.2025938641.

The spelling of 817931828 in words is "eight hundred seventeen million, nine hundred thirty-one thousand, eight hundred twenty-eight".