42727388328 has 256 divisors, whose sum is σ = 138039552000. Its totient is φ = 12146568192.

The previous prime is 42727388321. The next prime is 42727388359. The reversal of 42727388328 is 82388372724.

42727388328 is a `hidden beast` number, since 42 + 7 + 273 + 8 + 8 + 328 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (42727388321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1591351 + ... + 1617977.

It is an arithmetic number, because the mean of its divisors is an integer number (539217000).

Almost surely, 2^42727388328 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 42727388328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69019776000).

42727388328 is an abundant number, since it is smaller than the sum of its proper divisors (95312163672).

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

42727388328 is a wasteful number, since it uses less digits than its factorization.

42727388328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26701 (or 26691 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 42727388328 in words is "forty-two billion, seven hundred twenty-seven million, three hundred eighty-eight thousand, three hundred twenty-eight".