9815328 has 72 divisors (see below), whose sum is σ = 28216188. Its totient is φ = 3236352.

The previous prime is 9815321. The next prime is 9815353. The reversal of 9815328 is 8235189.

It can be written as a sum of positive squares in 2 ways, for example, as 7033104 + 2782224 = 2652^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 9815292 and 9815301.

It is not an unprimeable number, because it can be changed into a prime (9815321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49726 + ... + 49922.

Almost surely, 2^9815328 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 9815328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108094).

9815328 is an abundant number, since it is smaller than the sum of its proper divisors (18400860).

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

9815328 is a wasteful number, since it uses less digits than its factorization.

9815328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 375 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 9815328 is about 3132.9423869583. The cubic root of 9815328 is about 214.1090078464.

The spelling of 9815328 in words is "nine million, eight hundred fifteen thousand, three hundred twenty-eight".