31828896 has 192 divisors, whose sum is σ = 107775360. Its totient is φ = 9031680.

The previous prime is 31828889. The next prime is 31828903. The reversal of 31828896 is 69882813.

It is an interprime number because it is at equal distance from previous prime (31828889) and next prime (31828903).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161470 + ... + 161666.

It is an arithmetic number, because the mean of its divisors is an integer number (561330).

Almost surely, 2^31828896 is an apocalyptic number.

31828896 is a gapful number since it is divisible by the number (36) 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 31828896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53887680).

31828896 is an abundant number, since it is smaller than the sum of its proper divisors (75946464).

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

31828896 is a wasteful number, since it uses less digits than its factorization.

31828896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 31828896 is about 5641.7103789542. The cubic root of 31828896 is about 316.9133432821.

The spelling of 31828896 in words is "thirty-one million, eight hundred twenty-eight thousand, eight hundred ninety-six".