28567123200 has 1728 divisors, whose sum is σ = 138691123200. Its totient is φ = 5573836800.

The previous prime is 28567123199. The next prime is 28567123241. The reversal of 28567123200 is 232176582.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 252806344 + ... + 252806456.

Almost surely, 2^28567123200 is an apocalyptic number.

28567123200 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 28567123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69345561600).

28567123200 is an abundant number, since it is smaller than the sum of its proper divisors (110124000000).

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

28567123200 is a wasteful number, since it uses less digits than its factorization.

28567123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 28567123200 its reverse (232176582), we get a palindrome (28799299782).

The spelling of 28567123200 in words is "twenty-eight billion, five hundred sixty-seven million, one hundred twenty-three thousand, two hundred".