11879328 has 96 divisors (see below), whose sum is σ = 34292160. Its totient is φ = 3584000.

The previous prime is 11879303. The next prime is 11879333. The reversal of 11879328 is 82397811.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11879328² = 282236867463168, which contains 22 as substring.

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, 47203 + ... + 47453.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 2^11879328 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 11879328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146080).

11879328 is an abundant number, since it is smaller than the sum of its proper divisors (22412832).

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

11879328 is a wasteful number, since it uses less digits than its factorization.

11879328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 11879328 is about 3446.6401030569. The cubic root of 11879328 is about 228.1728452345.

The spelling of 11879328 in words is "eleven million, eight hundred seventy-nine thousand, three hundred twenty-eight".