11615328 has 72 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 3744000.

The previous prime is 11615323. The next prime is 11615347. The reversal of 11615328 is 82351611.

11615328 is a `hidden beast` number, since 11 + 615 + 32 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11615323) 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, 8278 + ... + 9578.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 2^11615328 is an apocalyptic number.

11615328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11615328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

11615328 is an abundant number, since it is smaller than the sum of its proper divisors (22507488).

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

11615328 is a wasteful number, since it uses less digits than its factorization.

11615328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1337 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11615328 is about 3408.1267582060. The cubic root of 11615328 is about 226.4699022914.

Adding to 11615328 its reverse (82351611), we get a palindrome (93966939).

The spelling of 11615328 in words is "eleven million, six hundred fifteen thousand, three hundred twenty-eight".