11926728 has 108 divisors (see below), whose sum is σ = 36490545. Its totient is φ = 3516480.

The previous prime is 11926727. The next prime is 11926729. The reversal of 11926728 is 82762911.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (11926727) and next prime (11926729).

It can be written as a sum of positive squares in 2 ways, for example, as 9622404 + 2304324 = 3102^2 + 1518^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2442.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (12096) is a multiple of the sum of its prime factors (108).

It is a junction number, because it is equal to n+sod(n) for n = 11926692 and 11926701.

It is not an unprimeable number, because it can be changed into a prime (11926727) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 322326 + ... + 322362.

It is a vampire number, since it can be written as 1221 ⋅ 9768 (with its own digits).

Almost surely, 2^11926728 is an apocalyptic number.

11926728 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 11926728

11926728 is an abundant number, since it is smaller than the sum of its proper divisors (24563817).

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

11926728 is a wasteful number, since it uses less digits than its factorization.

11926728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 53 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 11926728 is about 3453.5095193151. The cubic root of 11926728 is about 228.4759218548.

The spelling of 11926728 in words is "eleven million, nine hundred twenty-six thousand, seven hundred twenty-eight".