31673628 has 144 divisors (see below), whose sum is σ = 97377280. Its totient is φ = 8491392.

The previous prime is 31673623. The next prime is 31673641. The reversal of 31673628 is 82637613.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 31673592 and 31673601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31673623) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 400893 + ... + 400971.

Almost surely, 2^31673628 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 31673628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48688640).

31673628 is an abundant number, since it is smaller than the sum of its proper divisors (65703652).

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

31673628 is a wasteful number, since it uses less digits than its factorization.

31673628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 171 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 31673628 is about 5627.9328354201. The cubic root of 31673628 is about 316.3971799010.

The spelling of 31673628 in words is "thirty-one million, six hundred seventy-three thousand, six hundred twenty-eight".