820444028 has 24 divisors (see below), whose sum is σ = 1477109088. Its totient is φ = 398563776.

The previous prime is 820444019. The next prime is 820444033.

820444028 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 820443985 and 820444003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3050 + ... + 40622.

It is an arithmetic number, because the mean of its divisors is an integer number (61546212).

Almost surely, 2^820444028 is an apocalyptic number.

It is an amenable number.

820444028 is a deficient number, since it is larger than the sum of its proper divisors (656665060).

820444028 is a wasteful number, since it uses less digits than its factorization.

820444028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37733 (or 37731 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 820444028 is about 28643.3941424546. The cubic root of 820444028 is about 936.1590772921.

The spelling of 820444028 in words is "eight hundred twenty million, four hundred forty-four thousand, twenty-eight".