28752343200 has 504 divisors, whose sum is σ = 120290613408. Its totient is φ = 6571031040.

The previous prime is 28752343177. The next prime is 28752343241. The reversal of 28752343200 is 234325782.

28752343200 is a `hidden beast` number, since 287 + 52 + 3 + 4 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4078879 + ... + 4085921.

It is an arithmetic number, because the mean of its divisors is an integer number (238671852).

Almost surely, 2^28752343200 is an apocalyptic number.

28752343200 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 28752343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60145306704).

28752343200 is an abundant number, since it is smaller than the sum of its proper divisors (91538270208).

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

28752343200 is an equidigital number, since it uses as much as digits as its factorization.

28752343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7088 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 28752343200 its reverse (234325782), we get a palindrome (28986668982).

The spelling of 28752343200 in words is "twenty-eight billion, seven hundred fifty-two million, three hundred forty-three thousand, two hundred".