11038248 has 64 divisors (see below), whose sum is σ = 33028800. Its totient is φ = 3395520.

The previous prime is 11038243. The next prime is 11038267. The reversal of 11038248 is 84283011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11038243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843 + ... + 4773.

It is an arithmetic number, because the mean of its divisors is an integer number (516075).

Almost surely, 2^11038248 is an apocalyptic number.

11038248 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 11038248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514400).

11038248 is an abundant number, since it is smaller than the sum of its proper divisors (21990552).

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

11038248 is a wasteful number, since it uses less digits than its factorization.

11038248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3959 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11038248 is about 3322.3858896883. The cubic root of 11038248 is about 222.6554769059.

The spelling of 11038248 in words is "eleven million, thirty-eight thousand, two hundred forty-eight".