1971830926728 has 160 divisors (see below), whose sum is σ = 5948584571160. Its totient is φ = 606636656640.

The previous prime is 1971830926727. The next prime is 1971830926739. The reversal of 1971830926728 is 8276290381791.

1971830926728 is a `hidden beast` number, since 197 + 183 + 0 + 9 + 267 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 643938841764 + 1327892084964 = 802458^2 + 1152342^2 .

It is not an unprimeable number, because it can be changed into a prime (1971830926727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 107994976 + ... + 108013232.

Almost surely, 2^{1971830926728} is an apocalyptic number.

1971830926728 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 1971830926728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974292285580).

1971830926728 is an abundant number, since it is smaller than the sum of its proper divisors (3976753644432).

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

1971830926728 is a wasteful number, since it uses less digits than its factorization.

1971830926728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31109 (or 31096 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 1971830926728 in words is "one trillion, nine hundred seventy-one billion, eight hundred thirty million, nine hundred twenty-six thousand, seven hundred twenty-eight".