28141789132800 has 1728 divisors, whose sum is σ = 123191469928800. Its totient is φ = 6274901606400.

The previous prime is 28141789132763. The next prime is 28141789132859. The reversal of 28141789132800 is 823198714182.

28141789132800 is a `hidden beast` number, since 28 + 141 + 78 + 91 + 328 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2777236534 + ... + 2777246666.

Almost surely, 2^{28141789132800} is an apocalyptic number.

28141789132800 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 28141789132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61595734964400).

28141789132800 is an abundant number, since it is smaller than the sum of its proper divisors (95049680796000).

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

28141789132800 is a wasteful number, since it uses less digits than its factorization.

28141789132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10229 (or 10191 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 28141789132800 in words is "twenty-eight trillion, one hundred forty-one billion, seven hundred eighty-nine million, one hundred thirty-two thousand, eight hundred".