919828 has 54 divisors (see below), whose sum is σ = 2128266. Its totient is φ = 344736.

The previous prime is 919823. The next prime is 919859. The reversal of 919828 is 828919.

It can be written as a sum of positive squares in only one way, i.e., 636804 + 283024 = 798^2 + 532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (919823) by changing a digit.

919828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48403 + ... + 48421.

2⁹¹⁹⁸²⁸ is an apocalyptic number.

919828 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 919828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064133).

919828 is an abundant number, since it is smaller than the sum of its proper divisors (1208438).

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

919828 is a wasteful number, since it uses less digits than its factorization.

919828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its digits is 10368, while the sum is 37.

The square root of 919828 is about 959.0766392734. The cubic root of 919828 is about 97.2528211833.

Subtracting from 919828 its reverse (828919), we obtain a palindrome (90909).

The spelling of 919828 in words is "nine hundred nineteen thousand, eight hundred twenty-eight".