12583728 has 40 divisors (see below), whose sum is σ = 36121200. Its totient is φ = 4194432.

The previous prime is 12583721. The next prime is 12583741. The reversal of 12583728 is 82738521.

12583728 is a `hidden beast` number, since 1 + 2 + 583 + 72 + 8 = 666.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12583692 and 12583701.

It is not an unprimeable number, because it can be changed into a prime (12583721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14133 + ... + 14996.

It is an arithmetic number, because the mean of its divisors is an integer number (903030).

Almost surely, 2^12583728 is an apocalyptic number.

12583728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12583728 is an abundant number, since it is smaller than the sum of its proper divisors (23537472).

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

12583728 is a wasteful number, since it uses less digits than its factorization.

12583728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29146 (or 29134 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 12583728 is about 3547.3550710353. The cubic root of 12583728 is about 232.5964636140.

It can be divided in two parts, 12 and 583728, that added together give a triangular number (583740 = T₁₀₈₀).

The spelling of 12583728 in words is "twelve million, five hundred eighty-three thousand, seven hundred twenty-eight".