11395728 has 70 divisors (see below), whose sum is σ = 33137574. Its totient is φ = 3794688.

The previous prime is 11395723. The next prime is 11395739. The reversal of 11395728 is 82759311.

It can be written as a sum of positive squares in only one way, i.e., 11209104 + 186624 = 3348^2 + 432^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11395692 and 11395701.

It is not an unprimeable number, because it can be changed into a prime (11395721) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 11176 + ... + 12152.

Almost surely, 2^11395728 is an apocalyptic number.

11395728 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 11395728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16568787).

11395728 is an abundant number, since it is smaller than the sum of its proper divisors (21741846).

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

11395728 is an frugal number, since it uses more digits than its factorization.

11395728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 982 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 11395728 is about 3375.7559153470. The cubic root of 11395728 is about 225.0335949836.

The spelling of 11395728 in words is "eleven million, three hundred ninety-five thousand, seven hundred twenty-eight".