9729372128 has 96 divisors (see below), whose sum is σ = 22130519040. Its totient is φ = 4124390400.

The previous prime is 9729372091. The next prime is 9729372143. The reversal of 9729372128 is 8212739279.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10586453 + ... + 10587371.

It is an arithmetic number, because the mean of its divisors is an integer number (230526240).

Almost surely, 2^9729372128 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 9729372128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11065259520).

9729372128 is an abundant number, since it is smaller than the sum of its proper divisors (12401146912).

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

9729372128 is a wasteful number, since it uses less digits than its factorization.

9729372128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1392 counting only the distinct ones).

The product of its digits is 762048, while the sum is 50.

The square root of 9729372128 is about 98637.5796945566. The cubic root of 9729372128 is about 2134.8216812716.

The spelling of 9729372128 in words is "nine billion, seven hundred twenty-nine million, three hundred seventy-two thousand, one hundred twenty-eight".