31532041728 has 960 divisors, whose sum is σ = 115271050752. Its totient is φ = 8174960640.

The previous prime is 31532041727. The next prime is 31532041757. The reversal of 31532041728 is 82714023513.

31532041728 is a `hidden beast` number, since 315 + 320 + 4 + 17 + 2 + 8 = 666.

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 = 31532041692 and 31532041701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31532041727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 733303275 + ... + 733303317.

Almost surely, 2^31532041728 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 31532041728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57635525376).

31532041728 is an abundant number, since it is smaller than the sum of its proper divisors (83739009024).

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

31532041728 is a wasteful number, since it uses less digits than its factorization.

31532041728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 31532041728 in words is "thirty-one billion, five hundred thirty-two million, forty-one thousand, seven hundred twenty-eight".