101281726728 has 640 divisors, whose sum is σ = 371465740800. Its totient is φ = 25050415104.

The previous prime is 101281726723. The next prime is 101281726747. The reversal of 101281726728 is 827627182101.

101281726728 is a `hidden beast` number, since 101 + 281 + 7 + 267 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (101281726723) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71881288 + ... + 71882696.

It is an arithmetic number, because the mean of its divisors is an integer number (580415220).

Almost surely, 2^101281726728 is an apocalyptic number.

101281726728 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 101281726728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185732870400).

101281726728 is an abundant number, since it is smaller than the sum of its proper divisors (270184014072).

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

101281726728 is a wasteful number, since it uses less digits than its factorization.

101281726728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 101281726728 in words is "one hundred one billion, two hundred eighty-one million, seven hundred twenty-six thousand, seven hundred twenty-eight".