28096333200 has 360 divisors, whose sum is σ = 105277011840. Its totient is φ = 6897945600.

The previous prime is 28096333159. The next prime is 28096333207. The reversal of 28096333200 is 233369082.

It is a tau number, because it is divible by the number of its divisors (360).

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 (28096333207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30840745 + ... + 30841655.

It is an arithmetic number, because the mean of its divisors is an integer number (292436144).

Almost surely, 2^28096333200 is an apocalyptic number.

28096333200 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 28096333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52638505920).

28096333200 is an abundant number, since it is smaller than the sum of its proper divisors (77180678640).

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

28096333200 is a wasteful number, since it uses less digits than its factorization.

28096333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 28096333200 in words is "twenty-eight billion, ninety-six million, three hundred thirty-three thousand, two hundred".