11287728 has 160 divisors (see below), whose sum is σ = 36158400. Its totient is φ = 3354624.

The previous prime is 11287709. The next prime is 11287739. The reversal of 11287728 is 82778211.

It is a happy number.

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 = 11287692 and 11287701.

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 31 ways as a sum of consecutive naturals, for example, 212950 + ... + 213002.

It is an arithmetic number, because the mean of its divisors is an integer number (225990).

Almost surely, 2^11287728 is an apocalyptic number.

11287728 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 11287728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079200).

11287728 is an abundant number, since it is smaller than the sum of its proper divisors (24870672).

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

11287728 is a wasteful number, since it uses less digits than its factorization.

11287728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 11287728 is about 3359.7214170225. The cubic root of 11287728 is about 224.3204384937.

The spelling of 11287728 in words is "eleven million, two hundred eighty-seven thousand, seven hundred twenty-eight".