27830203872 has 192 divisors, whose sum is σ = 83321892864. Its totient is φ = 8081694720.

The previous prime is 27830203831. The next prime is 27830203897.

27830203872 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1151658 + ... + 1175574.

It is an arithmetic number, because the mean of its divisors is an integer number (433968192).

Almost surely, 2^27830203872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27830203872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41660946432).

27830203872 is an abundant number, since it is smaller than the sum of its proper divisors (55491688992).

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

27830203872 is a wasteful number, since it uses less digits than its factorization.

27830203872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24001 (or 23993 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 27830203872 in words is "twenty-seven billion, eight hundred thirty million, two hundred three thousand, eight hundred seventy-two".