11792448 has 84 divisors (see below), whose sum is σ = 34472880. Its totient is φ = 3853056.

The previous prime is 11792419. The next prime is 11792467. The reversal of 11792448 is 84429711.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33811 + ... + 34157.

Almost surely, 2^11792448 is an apocalyptic number.

11792448 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 11792448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236440).

11792448 is an abundant number, since it is smaller than the sum of its proper divisors (22680432).

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

11792448 is a wasteful number, since it uses less digits than its factorization.

11792448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 411 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 11792448 is about 3434.0133954311. The cubic root of 11792448 is about 227.6152328515.

The spelling of 11792448 in words is "eleven million, seven hundred ninety-two thousand, four hundred forty-eight".