28314411300 has 288 divisors, whose sum is σ = 104225273600. Its totient is φ = 6459678720.

The previous prime is 28314411263. The next prime is 28314411329. The reversal of 28314411300 is 311441382.

28314411300 is a `hidden beast` number, since 2 + 8 + 314 + 41 + 1 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13399044 + ... + 13401156.

Almost surely, 2^28314411300 is an apocalyptic number.

28314411300 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 28314411300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52112636800).

28314411300 is an abundant number, since it is smaller than the sum of its proper divisors (75910862300).

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

28314411300 is a wasteful number, since it uses less digits than its factorization.

28314411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 28314411300 its reverse (311441382), we get a palindrome (28625852682).

The spelling of 28314411300 in words is "twenty-eight billion, three hundred fourteen million, four hundred eleven thousand, three hundred".