28093443840 has 2016 divisors, whose sum is σ = 138978395136. Its totient is φ = 5255331840.

The previous prime is 28093443839. The next prime is 28093443869. The reversal of 28093443840 is 4834439082.

28093443840 is a `hidden beast` number, since 2 + 80 + 93 + 443 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1221454069 + ... + 1221454091.

It is an arithmetic number, because the mean of its divisors is an integer number (68937696).

Almost surely, 2^28093443840 is an apocalyptic number.

28093443840 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 28093443840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69489197568).

28093443840 is an abundant number, since it is smaller than the sum of its proper divisors (110884951296).

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

28093443840 is a wasteful number, since it uses less digits than its factorization.

28093443840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 68 counting only the distinct ones).

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

The spelling of 28093443840 in words is "twenty-eight billion, ninety-three million, four hundred forty-three thousand, eight hundred forty".