11629248 has 56 divisors (see below), whose sum is σ = 31619952. Its totient is φ = 3769344.

The previous prime is 11629243. The next prime is 11629249. The reversal of 11629248 is 84292611.

It is not an unprimeable number, because it can be changed into a prime (11629243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6286 + ... + 7922.

It is an arithmetic number, because the mean of its divisors is an integer number (564642).

Almost surely, 2^11629248 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 11629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809976).

11629248 is an abundant number, since it is smaller than the sum of its proper divisors (19990704).

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

11629248 is a wasteful number, since it uses less digits than its factorization.

11629248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1679 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 11629248 is about 3410.1683242913. The cubic root of 11629248 is about 226.5603345937.

The spelling of 11629248 in words is "eleven million, six hundred twenty-nine thousand, two hundred forty-eight".