11233728 has 140 divisors (see below), whose sum is σ = 36511992. Its totient is φ = 3386880.

The previous prime is 11233723. The next prime is 11233757. The reversal of 11233728 is 82733211.

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 (11233723) 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 19 ways as a sum of consecutive naturals, for example, 56926 + ... + 57122.

Almost surely, 2^11233728 is an apocalyptic number.

11233728 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 11233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18255996).

11233728 is an abundant number, since it is smaller than the sum of its proper divisors (25278264).

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

11233728 is a wasteful number, since it uses less digits than its factorization.

11233728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 213 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 11233728 is about 3351.6754019445. The cubic root of 11233728 is about 223.9621534698.

Adding to 11233728 its reverse (82733211), we get a palindrome (93966939).

It can be divided in two parts, 1123 and 3728, that added together give a triangular number (4851 = T₉₈).

The spelling of 11233728 in words is "eleven million, two hundred thirty-three thousand, seven hundred twenty-eight".