28544140800 has 1680 divisors, whose sum is σ = 133103266560. Its totient is φ = 5912248320.

The previous prime is 28544140799. The next prime is 28544140811. The reversal of 28544140800 is 804144582.

28544140800 is a `hidden beast` number, since 28 + 544 + 14 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 167 ways as a sum of consecutive naturals, for example, 1241049589 + ... + 1241049611.

Almost surely, 2^28544140800 is an apocalyptic number.

28544140800 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 28544140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66551633280).

28544140800 is an abundant number, since it is smaller than the sum of its proper divisors (104559125760).

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

28544140800 is an equidigital number, since it uses as much as digits as its factorization.

28544140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 28544140800 in words is "twenty-eight billion, five hundred forty-four million, one hundred forty thousand, eight hundred".