32687428085928 has 720 divisors, whose sum is σ = 116762328920160. Its totient is φ = 8362890645120.

The previous prime is 32687428085927. The next prime is 32687428085969. The reversal of 32687428085928 is 82958082478623.

32687428085928 is a `hidden beast` number, since 3 + 2 + 6 + 8 + 7 + 4 + 28 + 0 + 8 + 592 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (32687428085927) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2463807951 + ... + 2463821217.

It is an arithmetic number, because the mean of its divisors is an integer number (162169901278).

Almost surely, 2^{32687428085928} 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 32687428085928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58381164460080).

32687428085928 is an abundant number, since it is smaller than the sum of its proper divisors (84074900834232).

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

32687428085928 is a wasteful number, since it uses less digits than its factorization.

32687428085928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13448 (or 13357 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 32687428085928 in words is "thirty-two trillion, six hundred eighty-seven billion, four hundred twenty-eight million, eighty-five thousand, nine hundred twenty-eight".