28001433600 has 432 divisors, whose sum is σ = 114622194960. Its totient is φ = 6399590400.

The previous prime is 28001433589. The next prime is 28001433613. The reversal of 28001433600 is 633410082.

It is a happy number.

28001433600 is a `hidden beast` number, since 28 + 0 + 0 + 1 + 4 + 33 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3221260 + ... + 3229940.

It is an arithmetic number, because the mean of its divisors is an integer number (265329155).

Almost surely, 2^28001433600 is an apocalyptic number.

28001433600 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 28001433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57311097480).

28001433600 is an abundant number, since it is smaller than the sum of its proper divisors (86620761360).

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

28001433600 is a wasteful number, since it uses less digits than its factorization.

28001433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8726 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 28001433600 its reverse (633410082), we get a palindrome (28634843682).

The spelling of 28001433600 in words is "twenty-eight billion, one million, four hundred thirty-three thousand, six hundred".