11780928 has 84 divisors (see below), whose sum is σ = 34254948. Its totient is φ = 3870720.

The previous prime is 11780927. The next prime is 11780933. The reversal of 11780928 is 82908711.

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 11614464 = 408^2 + 3408^2 .

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 = 11780892 and 11780901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11780921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64998 + ... + 65178.

It is an arithmetic number, because the mean of its divisors is an integer number (407797).

Almost surely, 2^11780928 is an apocalyptic number.

11780928 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 11780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17127474).

11780928 is an abundant number, since it is smaller than the sum of its proper divisors (22474020).

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

11780928 is a wasteful number, since it uses less digits than its factorization.

11780928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11780928 is about 3432.3356479226. The cubic root of 11780928 is about 227.5410898691.

The spelling of 11780928 in words is "eleven million, seven hundred eighty thousand, nine hundred twenty-eight".