12157728 has 96 divisors (see below), whose sum is σ = 36106560. Its totient is φ = 3548160.

The previous prime is 12157721. The next prime is 12157729. The reversal of 12157728 is 82775121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12157721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30426 + ... + 30822.

It is an arithmetic number, because the mean of its divisors is an integer number (376110).

Almost surely, 2^12157728 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 12157728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18053280).

12157728 is an abundant number, since it is smaller than the sum of its proper divisors (23948832).

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

12157728 is a wasteful number, since it uses less digits than its factorization.

12157728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its digits is 7840, while the sum is 33.

The square root of 12157728 is about 3486.7933692721. The cubic root of 12157728 is about 229.9415604520.

The spelling of 12157728 in words is "twelve million, one hundred fifty-seven thousand, seven hundred twenty-eight".