11503728 has 80 divisors (see below), whose sum is σ = 34124800. Its totient is φ = 3706560.

The previous prime is 11503727. The next prime is 11503729. The reversal of 11503728 is 82730511.

It is an interprime number because it is at equal distance from previous prime (11503727) and next prime (11503729).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11503727) 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 15 ways as a sum of consecutive naturals, for example, 12963 + ... + 13821.

It is an arithmetic number, because the mean of its divisors is an integer number (426560).

Almost surely, 2^11503728 is an apocalyptic number.

11503728 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 11503728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17062400).

11503728 is an abundant number, since it is smaller than the sum of its proper divisors (22621072).

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

11503728 is a wasteful number, since it uses less digits than its factorization.

11503728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11503728 is about 3391.7146106357. The cubic root of 11503728 is about 225.7422597538.

The spelling of 11503728 in words is "eleven million, five hundred three thousand, seven hundred twenty-eight".