11732448 has 192 divisors, whose sum is σ = 40642560. Its totient is φ = 2875392.

The previous prime is 11732447. The next prime is 11732467. The reversal of 11732448 is 84423711.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11732447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148473 + ... + 148551.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^11732448 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 11732448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

11732448 is an abundant number, since it is smaller than the sum of its proper divisors (28910112).

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

11732448 is a wasteful number, since it uses less digits than its factorization.

11732448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 121 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 11732448 is about 3425.2661210481. The cubic root of 11732448 is about 227.2285406849.

It can be divided in two parts, 117 and 32448, that multiplied together give a cube (3796416 = 156³).

The spelling of 11732448 in words is "eleven million, seven hundred thirty-two thousand, four hundred forty-eight".