9613728 has 60 divisors (see below), whose sum is σ = 28281330. Its totient is φ = 3203712.

The previous prime is 9613727. The next prime is 9613729. The reversal of 9613728 is 8273169.

It is an interprime number because it is at equal distance from previous prime (9613727) and next prime (9613729).

It can be written as a sum of positive squares in only one way, i.e., 8928144 + 685584 = 2988^2 + 828^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9613692 and 9613701.

It is not an unprimeable number, because it can be changed into a prime (9613727) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 738 + ... + 4446.

Almost surely, 2^9613728 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 9613728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14140665).

9613728 is an abundant number, since it is smaller than the sum of its proper divisors (18667602).

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

9613728 is a wasteful number, since it uses less digits than its factorization.

9613728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731 (or 3714 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 9613728 is about 3100.6012320194. The cubic root of 9613728 is about 212.6329723689.

It can be divided in two parts, 96 and 13728, that added together give a cube (13824 = 24³).

The spelling of 9613728 in words is "nine million, six hundred thirteen thousand, seven hundred twenty-eight".