31382449728 has 224 divisors, whose sum is σ = 102217728000. Its totient is φ = 8299653120.

The previous prime is 31382449727. The next prime is 31382449753. The reversal of 31382449728 is 82794428313.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (31382449727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941898 + ... + 974646.

Almost surely, 2^31382449728 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 31382449728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51108864000).

31382449728 is an abundant number, since it is smaller than the sum of its proper divisors (70835278272).

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

31382449728 is a wasteful number, since it uses less digits than its factorization.

31382449728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32825 (or 32815 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The spelling of 31382449728 in words is "thirty-one billion, three hundred eighty-two million, four hundred forty-nine thousand, seven hundred twenty-eight".