11872728 has 48 divisors (see below), whose sum is σ = 36750480. Its totient is φ = 3392064.

The previous prime is 11872723. The next prime is 11872733. The reversal of 11872728 is 82727811.

It is a happy number.

11872728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11872723) and next prime (11872733).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 11872692 and 11872701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11872723) 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, 11275 + ... + 12282.

It is an arithmetic number, because the mean of its divisors is an integer number (765635).

Almost surely, 2^11872728 is an apocalyptic number.

11872728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11872728 is an abundant number, since it is smaller than the sum of its proper divisors (24877752).

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

11872728 is a wasteful number, since it uses less digits than its factorization.

11872728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23576 (or 23569 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 11872728 is about 3445.6825158450. The cubic root of 11872728 is about 228.1305807855.

The spelling of 11872728 in words is "eleven million, eight hundred seventy-two thousand, seven hundred twenty-eight".