820044440028 has 72 divisors (see below), whose sum is σ = 2322451862640. Its totient is φ = 241782140160.

The previous prime is 820044440027. The next prime is 820044440041.

820044440028 is a `hidden beast` number, since 8 + 200 + 4 + 4 + 440 + 0 + 2 + 8 = 666.

820044440028 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 820044439974 and 820044440001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820044440027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27969393 + ... + 27998696.

It is an arithmetic number, because the mean of its divisors is an integer number (32256275870).

Almost surely, 2^820044440028 is an apocalyptic number.

It is an amenable number.

820044440028 is an abundant number, since it is smaller than the sum of its proper divisors (1502407422612).

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

820044440028 is a wasteful number, since it uses less digits than its factorization.

820044440028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55968147 (or 55968142 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 820044440028 in words is "eight hundred twenty billion, forty-four million, four hundred forty thousand, twenty-eight".