28341381600 has 864 divisors, whose sum is σ = 120794768640. Its totient is φ = 6350192640.

The previous prime is 28341381599. The next prime is 28341381611. The reversal of 28341381600 is 618314382.

28341381600 is a `hidden beast` number, since 2 + 8 + 3 + 41 + 3 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80287024 + ... + 80287376.

It is an arithmetic number, because the mean of its divisors is an integer number (139808760).

Almost surely, 2^28341381600 is an apocalyptic number.

28341381600 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 28341381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60397384320).

28341381600 is an abundant number, since it is smaller than the sum of its proper divisors (92453387040).

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

28341381600 is a wasteful number, since it uses less digits than its factorization.

28341381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 28341381600 its reverse (618314382), we get a palindrome (28959695982).

The spelling of 28341381600 in words is "twenty-eight billion, three hundred forty-one million, three hundred eighty-one thousand, six hundred".