11662728 has 64 divisors (see below), whose sum is σ = 36357120. Its totient is φ = 3028800.

The previous prime is 11662711. The next prime is 11662769. The reversal of 11662728 is 82726611.

11662728 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

11662728 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308 + ... + 5003.

It is an arithmetic number, because the mean of its divisors is an integer number (568080).

Almost surely, 2^11662728 is an apocalyptic number.

It is an amenable number.

11662728 is an abundant number, since it is smaller than the sum of its proper divisors (24694392).

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

11662728 is a wasteful number, since it uses less digits than its factorization.

11662728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338 (or 6334 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 11662728 is about 3415.0736448867. The cubic root of 11662728 is about 226.7775447535. Note that the first 3 decimals are identical.

The spelling of 11662728 in words is "eleven million, six hundred sixty-two thousand, seven hundred twenty-eight".