31894128 has 160 divisors (see below), whose sum is σ = 107136000. Its totient is φ = 8895744.

The previous prime is 31894099. The next prime is 31894139. The reversal of 31894128 is 82149813.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 31894092 and 31894101.

It is a congruent number.

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, 160173 + ... + 160371.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 2^31894128 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 31894128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568000).

31894128 is an abundant number, since it is smaller than the sum of its proper divisors (75241872).

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

31894128 is a wasteful number, since it uses less digits than its factorization.

31894128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 31894128 is about 5647.4886454069. The cubic root of 31894128 is about 317.1296957911.

The spelling of 31894128 in words is "thirty-one million, eight hundred ninety-four thousand, one hundred twenty-eight".