2828604006 has 48 divisors (see below), whose sum is σ = 6215040000. Its totient is φ = 929610864.

The previous prime is 2828603989. The next prime is 2828604013. The reversal of 2828604006 is 6004068282.

2828604006 is a `hidden beast` number, since 28 + 28 + 604 + 0 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1886245 + ... + 1887743.

It is an arithmetic number, because the mean of its divisors is an integer number (129480000).

Almost surely, 2^2828604006 is an apocalyptic number.

2828604006 is an abundant number, since it is smaller than the sum of its proper divisors (3386435994).

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

2828604006 is a wasteful number, since it uses less digits than its factorization.

2828604006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2910 counting only the distinct ones).

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

The square root of 2828604006 is about 53184.6218939272. The cubic root of 2828604006 is about 1414.2430419676.

The spelling of 2828604006 in words is "two billion, eight hundred twenty-eight million, six hundred four thousand, six".