42032512728 has 192 divisors, whose sum is σ = 124107984000. Its totient is φ = 12807051264.

The previous prime is 42032512721. The next prime is 42032512741. The reversal of 42032512728 is 82721523024.

42032512728 is a `hidden beast` number, since 42 + 0 + 32 + 512 + 72 + 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 = 42032512692 and 42032512701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42032512721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4878088 + ... + 4886696.

It is an arithmetic number, because the mean of its divisors is an integer number (646395750).

Almost surely, 2^42032512728 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 42032512728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62053992000).

42032512728 is an abundant number, since it is smaller than the sum of its proper divisors (82075471272).

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

42032512728 is a wasteful number, since it uses less digits than its factorization.

42032512728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8759 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 42032512728 in words is "forty-two billion, thirty-two million, five hundred twelve thousand, seven hundred twenty-eight".