28285171200 has 1440 divisors, whose sum is σ = 127163548512. Its totient is φ = 5898240000.

The previous prime is 28285171181. The next prime is 28285171207. The reversal of 28285171200 is 217158282.

28285171200 is a `hidden beast` number, since 2 + 8 + 285 + 171 + 200 = 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28285171207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 280051150 + ... + 280051250.

Almost surely, 2^28285171200 is an apocalyptic number.

28285171200 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 28285171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63581774256).

28285171200 is an abundant number, since it is smaller than the sum of its proper divisors (98878377312).

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

28285171200 is a wasteful number, since it uses less digits than its factorization.

28285171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 28285171200 in words is "twenty-eight billion, two hundred eighty-five million, one hundred seventy-one thousand, two hundred".