42728549760 has 1280 divisors, whose sum is σ = 179146598400. Its totient is φ = 9614868480.

The previous prime is 42728549711. The next prime is 42728549771. The reversal of 42728549760 is 6794582724.

42728549760 is a `hidden beast` number, since 4 + 2 + 7 + 28 + 549 + 76 + 0 = 666.

42728549760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 42728549697 and 42728549706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 601810525 + ... + 601810595.

It is an arithmetic number, because the mean of its divisors is an integer number (139958280).

Almost surely, 2^42728549760 is an apocalyptic number.

42728549760 is a gapful number since it is divisible by the number (40) 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 42728549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89573299200).

42728549760 is an abundant number, since it is smaller than the sum of its proper divisors (136418048640).

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

42728549760 is a wasteful number, since it uses less digits than its factorization.

42728549760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 42728549760 in words is "forty-two billion, seven hundred twenty-eight million, five hundred forty-nine thousand, seven hundred sixty".