819728 has 40 divisors (see below), whose sum is σ = 1958208. Its totient is φ = 323712.

The previous prime is 819719. The next prime is 819737. The reversal of 819728 is 827918.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (819719) and next prime (819737).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1175 + ... + 1737.

2⁸¹⁹⁷²⁸ 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 819728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979104).

819728 is an abundant number, since it is smaller than the sum of its proper divisors (1138480).

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

819728 is a wasteful number, since it uses less digits than its factorization.

819728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 585 counting only the distinct ones).

The product of its digits is 8064, while the sum is 35.

The square root of 819728 is about 905.3883144817. The cubic root of 819728 is about 93.5886659274.

The spelling of 819728 in words is "eight hundred nineteen thousand, seven hundred twenty-eight".