819828918 has 64 divisors (see below), whose sum is σ = 1851863040. Its totient is φ = 268812000.

The previous prime is 819828917. The next prime is 819828937.

819828918 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819828913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1041321 + ... + 1042107.

It is an arithmetic number, because the mean of its divisors is an integer number (28935360).

Almost surely, 2^819828918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819828918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925931520).

819828918 is an abundant number, since it is smaller than the sum of its proper divisors (1032034122).

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

819828918 is a wasteful number, since it uses less digits than its factorization.

819828918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1084 counting only the distinct ones).

The product of its digits is 663552, while the sum is 54.

The square root of 819828918 is about 28632.6547494290. The cubic root of 819828918 is about 935.9250638561.

The spelling of 819828918 in words is "eight hundred nineteen million, eight hundred twenty-eight thousand, nine hundred eighteen".