828946818 has 192 divisors, whose sum is σ = 2287077120. Its totient is φ = 221405184.

The previous prime is 828946787. The next prime is 828946823. The reversal of 828946818 is 818649828.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 3225346 + ... + 3225602.

It is an arithmetic number, because the mean of its divisors is an integer number (11911860).

Almost surely, 2^828946818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828946818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143538560).

828946818 is an abundant number, since it is smaller than the sum of its proper divisors (1458130302).

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

828946818 is a wasteful number, since it uses less digits than its factorization.

828946818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 345 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 828946818 is about 28791.4365393601. The cubic root of 828946818 is about 939.3819756774.

The spelling of 828946818 in words is "eight hundred twenty-eight million, nine hundred forty-six thousand, eight hundred eighteen".