28301427600 has 240 divisors, whose sum is σ = 92661926400. Its totient is φ = 7381237760.

The previous prime is 28301427577. The next prime is 28301427607. The reversal of 28301427600 is 672410382.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (28301427607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30463936 + ... + 30464864.

It is an arithmetic number, because the mean of its divisors is an integer number (386091360).

Almost surely, 2^28301427600 is an apocalyptic number.

28301427600 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 28301427600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46330963200).

28301427600 is an abundant number, since it is smaller than the sum of its proper divisors (64360498800).

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

28301427600 is a wasteful number, since it uses less digits than its factorization.

28301427600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 28301427600 its reverse (672410382), we get a palindrome (28973837982).

The spelling of 28301427600 in words is "twenty-eight billion, three hundred one million, four hundred twenty-seven thousand, six hundred".