11726928 has 120 divisors (see below), whose sum is σ = 35283456. Its totient is φ = 3628800.

The previous prime is 11726921. The next prime is 11726929. The reversal of 11726928 is 82962711.

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 divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 11726892 and 11726901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11726921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165133 + ... + 165203.

Almost surely, 2^11726928 is an apocalyptic number.

11726928 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 11726928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641728).

11726928 is an abundant number, since it is smaller than the sum of its proper divisors (23556528).

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

11726928 is a wasteful number, since it uses less digits than its factorization.

11726928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

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

The square root of 11726928 is about 3424.4602494408. The cubic root of 11726928 is about 227.1928988391.

It can be divided in two parts, 1172 and 6928, that added together give a square (8100 = 90²).

The spelling of 11726928 in words is "eleven million, seven hundred twenty-six thousand, nine hundred twenty-eight".