27833633872 has 120 divisors (see below), whose sum is σ = 61095339648. Its totient is φ = 12268354560.

The previous prime is 27833633837. The next prime is 27833633887.

27833633872 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×27833633872² (a number of 22 digits) contains 22 as substring.

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, 10280743 + ... + 10283449.

Almost surely, 2^27833633872 is an apocalyptic number.

27833633872 is a gapful number since it is divisible by the number (22) 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 27833633872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30547669824).

27833633872 is an abundant number, since it is smaller than the sum of its proper divisors (33261705776).

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

27833633872 is a wasteful number, since it uses less digits than its factorization.

27833633872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2880 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 52.

The spelling of 27833633872 in words is "twenty-seven billion, eight hundred thirty-three million, six hundred thirty-three thousand, eight hundred seventy-two".