31438153728 has 192 divisors, whose sum is σ = 93628080000. Its totient is φ = 10423074816.

The previous prime is 31438153723. The next prime is 31438153739. The reversal of 31438153728 is 82735183413.

31438153728 is a `hidden beast` number, since 3 + 14 + 3 + 81 + 537 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (31438153723) 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 15 ways as a sum of consecutive naturals, for example, 11002476 + ... + 11005332.

It is an arithmetic number, because the mean of its divisors is an integer number (487646250).

Almost surely, 2^31438153728 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 31438153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46814040000).

31438153728 is an abundant number, since it is smaller than the sum of its proper divisors (62189926272).

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

31438153728 is a wasteful number, since it uses less digits than its factorization.

31438153728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3061 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 31438153728 in words is "thirty-one billion, four hundred thirty-eight million, one hundred fifty-three thousand, seven hundred twenty-eight".