11801728 has 32 divisors (see below), whose sum is σ = 23718060. Its totient is φ = 5849088.

The previous prime is 11801701. The next prime is 11801759. The reversal of 11801728 is 82710811.

It can be written as a sum of positive squares in 2 ways, for example, as 11778624 + 23104 = 3432^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 11801696 and 11801705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17200 + ... + 17872.

Almost surely, 2^11801728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11801728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11859030).

11801728 is an abundant number, since it is smaller than the sum of its proper divisors (11916332).

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

11801728 is an equidigital number, since it uses as much as digits as its factorization.

11801728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 28.

The square root of 11801728 is about 3435.3643183802. The cubic root of 11801728 is about 227.6749240348.

The spelling of 11801728 in words is "eleven million, eight hundred one thousand, seven hundred twenty-eight".