28206444672 has 672 divisors, whose sum is σ = 101675232000. Its totient is φ = 7759825920.

The previous prime is 28206444653. The next prime is 28206444719. The reversal of 28206444672 is 27644460282.

28206444672 is a `hidden beast` number, since 2 + 82 + 0 + 64 + 446 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 141740829 + ... + 141741027.

Almost surely, 2^28206444672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28206444672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50837616000).

28206444672 is an abundant number, since it is smaller than the sum of its proper divisors (73468787328).

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

28206444672 is an equidigital number, since it uses as much as digits as its factorization.

28206444672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

It can be divided in two parts, 28206 and 444672, that added together give a triangular number (472878 = T₉₇₂).

The spelling of 28206444672 in words is "twenty-eight billion, two hundred six million, four hundred forty-four thousand, six hundred seventy-two".