28805414400 has 1080 divisors, whose sum is σ = 124835053200. Its totient is φ = 6584094720.

The previous prime is 28805414377. The next prime is 28805414419. The reversal of 28805414400 is 441450882.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4115059197 + ... + 4115059203.

Almost surely, 2^28805414400 is an apocalyptic number.

28805414400 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 28805414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62417526600).

28805414400 is an abundant number, since it is smaller than the sum of its proper divisors (96029638800).

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

28805414400 is an frugal number, since it uses more digits than its factorization.

28805414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

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

The spelling of 28805414400 in words is "twenty-eight billion, eight hundred five million, four hundred fourteen thousand, four hundred".