31827828672 has 168 divisors, whose sum is σ = 96714259200. Its totient is φ = 9972891648.

The previous prime is 31827828631. The next prime is 31827828677. The reversal of 31827828672 is 27682872813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31827828677) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11053729 + ... + 11056607.

Almost surely, 2^31827828672 is an apocalyptic number.

31827828672 is a gapful number since it is divisible by the number (32) 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 31827828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48357129600).

31827828672 is an abundant number, since it is smaller than the sum of its proper divisors (64886430528).

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

31827828672 is a wasteful number, since it uses less digits than its factorization.

31827828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4030 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 31827828672 in words is "thirty-one billion, eight hundred twenty-seven million, eight hundred twenty-eight thousand, six hundred seventy-two".