28206944640 has 384 divisors, whose sum is σ = 114912645120. Its totient is φ = 6239047680.

The previous prime is 28206944621. The next prime is 28206944653. The reversal of 28206944640 is 4644960282.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1238637 + ... + 1261203.

It is an arithmetic number, because the mean of its divisors is an integer number (299251680).

Almost surely, 2^28206944640 is an apocalyptic number.

28206944640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28206944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456322560).

28206944640 is an abundant number, since it is smaller than the sum of its proper divisors (86705700480).

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

28206944640 is a wasteful number, since it uses less digits than its factorization.

28206944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22630 (or 22615 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 28206944640 in words is "twenty-eight billion, two hundred six million, nine hundred forty-four thousand, six hundred forty".