28641427200 has 216 divisors, whose sum is σ = 105025830000. Its totient is φ = 7637667840.

The previous prime is 28641427181. The next prime is 28641427201. The reversal of 28641427200 is 272414682.

28641427200 is a `hidden beast` number, since 2 + 8 + 641 + 4 + 2 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 (28641427201) 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 23 ways as a sum of consecutive naturals, for example, 89926 + ... + 255674.

Almost surely, 2^28641427200 is an apocalyptic number.

28641427200 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 28641427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52512915000).

28641427200 is an abundant number, since it is smaller than the sum of its proper divisors (76384402800).

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

28641427200 is a wasteful number, since it uses less digits than its factorization.

28641427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165784 (or 165759 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 28641427200 in words is "twenty-eight billion, six hundred forty-one million, four hundred twenty-seven thousand, two hundred".