31036728 has 64 divisors (see below), whose sum is σ = 84528000. Its totient is φ = 9459072.

The previous prime is 31036717. The next prime is 31036751. The reversal of 31036728 is 82763013.

It is a junction number, because it is equal to n+sod(n) for n = 31036695 and 31036704.

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 15 ways as a sum of consecutive naturals, for example, 12051 + ... + 14397.

It is an arithmetic number, because the mean of its divisors is an integer number (1320750).

Almost surely, 2^31036728 is an apocalyptic number.

31036728 is a gapful number since it is divisible by the number (38) 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 31036728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42264000).

31036728 is an abundant number, since it is smaller than the sum of its proper divisors (53491272).

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

31036728 is a wasteful number, since it uses less digits than its factorization.

31036728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 31036728 is about 5571.0616582479. The cubic root of 31036728 is about 314.2620771676.

The spelling of 31036728 in words is "thirty-one million, thirty-six thousand, seven hundred twenty-eight".