2006280828 has 72 divisors (see below), whose sum is σ = 5141354400. Its totient is φ = 659606400.

The previous prime is 2006280821. The next prime is 2006280853. The reversal of 2006280828 is 8280826002.

2006280828 is a `hidden beast` number, since 2 + 0 + 0 + 628 + 0 + 8 + 28 = 666.

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 = 2006280792 and 2006280801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006280821) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 808726 + ... + 811202.

It is an arithmetic number, because the mean of its divisors is an integer number (71407700).

Almost surely, 2^2006280828 is an apocalyptic number.

It is an amenable number.

2006280828 is an abundant number, since it is smaller than the sum of its proper divisors (3135073572).

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

2006280828 is a wasteful number, since it uses less digits than its factorization.

2006280828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2006280828 is about 44791.5262968343. The cubic root of 2006280828 is about 1261.2385629117.

The spelling of 2006280828 in words is "two billion, six million, two hundred eighty thousand, eight hundred twenty-eight".