42728584005 has 48 divisors (see below), whose sum is σ = 74629062144. Its totient is φ = 22614681600.

The previous prime is 42728584001. The next prime is 42728584013. The reversal of 42728584005 is 50048582724.

42728584005 is a `hidden beast` number, since 42 + 7 + 28 + 584 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 42728584005 - 2² = 42728584001 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42728584001) 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, 8266932 + ... + 8272098.

It is an arithmetic number, because the mean of its divisors is an integer number (1554772128).

Almost surely, 2^42728584005 is an apocalyptic number.

42728584005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42728584005 is a deficient number, since it is larger than the sum of its proper divisors (31900478139).

42728584005 is a wasteful number, since it uses less digits than its factorization.

42728584005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 6543 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 42728584005 in words is "forty-two billion, seven hundred twenty-eight million, five hundred eighty-four thousand, five".