28217241600 has 312 divisors, whose sum is σ = 96335596032. Its totient is φ = 7279411200.

The previous prime is 28217241557. The next prime is 28217241617. The reversal of 28217241600 is 614271282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9521719 + ... + 9524681.

It is an arithmetic number, because the mean of its divisors is an integer number (308767936).

Almost surely, 2^28217241600 is an apocalyptic number.

28217241600 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 28217241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48167798016).

28217241600 is an abundant number, since it is smaller than the sum of its proper divisors (68118354432).

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

28217241600 is a wasteful number, since it uses less digits than its factorization.

28217241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 28217241600 in words is "twenty-eight billion, two hundred seventeen million, two hundred forty-one thousand, six hundred".