284878972800 has 288 divisors, whose sum is σ = 1017188523000. Its totient is φ = 75917291520.

The previous prime is 284878972787. The next prime is 284878972801. The reversal of 284878972800 is 8279878482.

284878972800 is a `hidden beast` number, since 2 + 8 + 487 + 8 + 9 + 72 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284878972801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 67361086 + ... + 67365314.

Almost surely, 2^284878972800 is an apocalyptic number.

284878972800 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 284878972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508594261500).

284878972800 is an abundant number, since it is smaller than the sum of its proper divisors (732309550200).

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

284878972800 is a wasteful number, since it uses less digits than its factorization.

284878972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 284878972800 in words is "two hundred eighty-four billion, eight hundred seventy-eight million, nine hundred seventy-two thousand, eight hundred".