28666321200 has 600 divisors, whose sum is σ = 113036294976. Its totient is φ = 6928416000.

The previous prime is 28666321153. The next prime is 28666321207. The reversal of 28666321200 is 212366682.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×28666321200³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28666321207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86605035 + ... + 86605365.

Almost surely, 2^28666321200 is an apocalyptic number.

28666321200 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 28666321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56518147488).

28666321200 is an abundant number, since it is smaller than the sum of its proper divisors (84369973776).

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

28666321200 is an equidigital number, since it uses as much as digits as its factorization.

28666321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 28666321200 its reverse (212366682), we get a palindrome (28878687882).

It can be divided in two parts, 28666 and 321200, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 28666321200 in words is "twenty-eight billion, six hundred sixty-six million, three hundred twenty-one thousand, two hundred".