28004407200 has 432 divisors, whose sum is σ = 123119994816. Its totient is φ = 5818982400.

The previous prime is 28004407181. The next prime is 28004407201. The reversal of 28004407200 is 270440082.

It is not an unprimeable number, because it can be changed into a prime (28004407201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 529144 + ... + 579656.

It is an arithmetic number, because the mean of its divisors is an integer number (284999988).

Almost surely, 2^28004407200 is an apocalyptic number.

28004407200 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 28004407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61559997408).

28004407200 is an abundant number, since it is smaller than the sum of its proper divisors (95115587616).

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

28004407200 is a wasteful number, since it uses less digits than its factorization.

28004407200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50557 (or 50541 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 28004407200 its reverse (270440082), we get a palindrome (28274847282).

It can be divided in two parts, 2800 and 4407200, that added together give a square (4410000 = 2100²).

The spelling of 28004407200 in words is "twenty-eight billion, four million, four hundred seven thousand, two hundred".