28284681600 has 1440 divisors, whose sum is σ = 129541385160. Its totient is φ = 6038323200.

The previous prime is 28284681553. The next prime is 28284681611. The reversal of 28284681600 is 618648282.

28284681600 is a `hidden beast` number, since 2 + 8 + 28 + 468 + 160 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 215913535 + ... + 215913665.

Almost surely, 2^28284681600 is an apocalyptic number.

28284681600 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 28284681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64770692580).

28284681600 is an abundant number, since it is smaller than the sum of its proper divisors (101256703560).

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

28284681600 is a wasteful number, since it uses less digits than its factorization.

28284681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 28284681600 in words is "twenty-eight billion, two hundred eighty-four million, six hundred eighty-one thousand, six hundred".