127238293728 has 648 divisors, whose sum is σ = 470752865856. Its totient is φ = 32455987200.

The previous prime is 127238293717. The next prime is 127238293747. The reversal of 127238293728 is 827392832721.

127238293728 is a `hidden beast` number, since 12 + 7 + 238 + 29 + 372 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 73931908 + ... + 73933628.

It is an arithmetic number, because the mean of its divisors is an integer number (726470472).

Almost surely, 2^127238293728 is an apocalyptic number.

127238293728 is a gapful number since it is divisible by the number (18) 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 127238293728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235376432928).

127238293728 is an abundant number, since it is smaller than the sum of its proper divisors (343514572128).

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

127238293728 is a wasteful number, since it uses less digits than its factorization.

127238293728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1777 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 127238293728 in words is "one hundred twenty-seven billion, two hundred thirty-eight million, two hundred ninety-three thousand, seven hundred twenty-eight".