820646028 has 18 divisors (see below), whose sum is σ = 2074410884. Its totient is φ = 273548664.

The previous prime is 820646027. The next prime is 820646039.

820646028 is a `hidden beast` number, since 8 + 2 + 0 + 646 + 0 + 2 + 8 = 666.

820646028 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 22795723 = 820646028 / (8 + 2 + 0 + 6 + 4 + 6 + 0 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 820645983 and 820646001.

It is not an unprimeable number, because it can be changed into a prime (820646027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11397826 + ... + 11397897.

Almost surely, 2^820646028 is an apocalyptic number.

It is an amenable number.

820646028 is an abundant number, since it is smaller than the sum of its proper divisors (1253764856).

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

820646028 is a wasteful number, since it uses less digits than its factorization.

820646028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22795733 (or 22795728 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 820646028 is about 28646.9200438721. The cubic root of 820646028 is about 936.2359009833.

The spelling of 820646028 in words is "eight hundred twenty million, six hundred forty-six thousand, twenty-eight".