31106328 has 128 divisors (see below), whose sum is σ = 93312000. Its totient is φ = 8529920.

The previous prime is 31106303. The next prime is 31106333. The reversal of 31106328 is 82360113.

31106328 is a nontrivial binomial coefficient, being equal to C(7888, 2).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 31106298 and 31106307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130033 + ... + 130271.

It is an arithmetic number, because the mean of its divisors is an integer number (729000).

Almost surely, 2^31106328 is an apocalyptic number.

31106328 is the 7887-th triangular number and also the 3944-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31106328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46656000).

31106328 is an abundant number, since it is smaller than the sum of its proper divisors (62205672).

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

31106328 is a wasteful number, since it uses less digits than its factorization.

31106328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 31106328 is about 5577.3047254028. The cubic root of 31106328 is about 314.4968131561.

The spelling of 31106328 in words is "thirty-one million, one hundred six thousand, three hundred twenty-eight".