9705728151 has 32 divisors (see below), whose sum is σ = 16472332800. Its totient is φ = 5532848640.

The previous prime is 9705728113. The next prime is 9705728231. The reversal of 9705728151 is 1518275079.

9705728151 is a `hidden beast` number, since 9 + 70 + 572 + 8 + 1 + 5 + 1 = 666.

It is not a de Polignac number, because 9705728151 - 2⁷ = 9705728023 is a prime.

It is a super-2 number, since 2×9705728151² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9705728097 and 9705728106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9705728251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17911 + ... + 140471.

It is an arithmetic number, because the mean of its divisors is an integer number (514760400).

Almost surely, 2^9705728151 is an apocalyptic number.

9705728151 is a deficient number, since it is larger than the sum of its proper divisors (6766604649).

9705728151 is a wasteful number, since it uses less digits than its factorization.

9705728151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122996 (or 122990 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The square root of 9705728151 is about 98517.6540067820. The cubic root of 9705728151 is about 2133.0909557452.

The spelling of 9705728151 in words is "nine billion, seven hundred five million, seven hundred twenty-eight thousand, one hundred fifty-one".