9728672250 has 384 divisors, whose sum is σ = 28682035200. Its totient is φ = 2189616000.

The previous prime is 9728672237. The next prime is 9728672251. The reversal of 9728672250 is 522768279.

It is a self number, because there is not a number n which added to its sum of digits gives 9728672250.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9728672251) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 123147711 + ... + 123147789.

It is an arithmetic number, because the mean of its divisors is an integer number (74692800).

Almost surely, 2^9728672250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9728672250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14341017600).

9728672250 is an abundant number, since it is smaller than the sum of its proper divisors (18953362950).

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

9728672250 is a wasteful number, since it uses less digits than its factorization.

9728672250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 9728672250 is about 98634.0319058285. The cubic root of 9728672250 is about 2134.7704908989.

The spelling of 9728672250 in words is "nine billion, seven hundred twenty-eight million, six hundred seventy-two thousand, two hundred fifty".