11389248 has 140 divisors (see below), whose sum is σ = 36573460. Its totient is φ = 3504384.

The previous prime is 11389247. The next prime is 11389253. The reversal of 11389248 is 84298311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 10969344 = 648^2 + 3312^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=156.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

Its product of digits (13824) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11389247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 876090 + ... + 876102.

It is an arithmetic number, because the mean of its divisors is an integer number (261239).

Almost surely, 2^11389248 is an apocalyptic number.

11389248 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 11389248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18286730).

11389248 is an abundant number, since it is smaller than the sum of its proper divisors (25184212).

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

11389248 is an frugal number, since it uses more digits than its factorization.

11389248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 18 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 11389248 is about 3374.7959938343. The cubic root of 11389248 is about 224.9909329680.

The spelling of 11389248 in words is "eleven million, three hundred eighty-nine thousand, two hundred forty-eight".