28002286540800 has 2592 divisors, whose sum is σ = 120042232586640. Its totient is φ = 6183242956800.

The previous prime is 28002286540783. The next prime is 28002286540829. The reversal of 28002286540800 is 804568220082.

28002286540800 is a `hidden beast` number, since 2 + 8 + 0 + 0 + 2 + 28 + 6 + 540 + 80 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 83092838232 + ... + 83092838568.

Almost surely, 2^{28002286540800} is an apocalyptic number.

28002286540800 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 28002286540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60021116293320).

28002286540800 is an abundant number, since it is smaller than the sum of its proper divisors (92039946045840).

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

28002286540800 is a wasteful number, since it uses less digits than its factorization.

28002286540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 28002286540800 in words is "twenty-eight trillion, two billion, two hundred eighty-six million, five hundred forty thousand, eight hundred".