31728687552 has 280 divisors, whose sum is σ = 97808619216. Its totient is φ = 10161303552.

The previous prime is 31728687539. The next prime is 31728687607. The reversal of 31728687552 is 25578682713.

31728687552 is a `hidden beast` number, since 3 + 1 + 7 + 2 + 8 + 6 + 87 + 552 = 666.

It is a super-2 number, since 2×31728687552² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15919068 + ... + 15921060.

Almost surely, 2^31728687552 is an apocalyptic number.

31728687552 is a gapful number since it is divisible by the number (32) 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 31728687552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48904309608).

31728687552 is an abundant number, since it is smaller than the sum of its proper divisors (66079931664).

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

31728687552 is a wasteful number, since it uses less digits than its factorization.

31728687552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2118 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 31728687552 in words is "thirty-one billion, seven hundred twenty-eight million, six hundred eighty-seven thousand, five hundred fifty-two".