11828752 has 80 divisors (see below), whose sum is σ = 26717040. Its totient is φ = 5031936.

The previous prime is 11828683. The next prime is 11828767. The reversal of 11828752 is 25782811.

It can be written as a sum of positive squares in 8 ways, for example, as 295936 + 11532816 = 544^2 + 3396^2 .

Its product of digits (8960) is a multiple of the sum of its prime factors (140).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223158 + ... + 223210.

It is an arithmetic number, because the mean of its divisors is an integer number (333963).

Almost surely, 2^11828752 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 11828752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13358520).

11828752 is an abundant number, since it is smaller than the sum of its proper divisors (14888288).

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

11828752 is a wasteful number, since it uses less digits than its factorization.

11828752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its digits is 8960, while the sum is 34.

The square root of 11828752 is about 3439.2952766519. The cubic root of 11828752 is about 227.8485708347.

The spelling of 11828752 in words is "eleven million, eight hundred twenty-eight thousand, seven hundred fifty-two".