12493728 has 144 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 3709440.

The previous prime is 12493727. The next prime is 12493739. The reversal of 12493728 is 82739421.

12493728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 12493692 and 12493701.

It is not an unprimeable number, because it can be changed into a prime (12493721) 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, 175933 + ... + 176003.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 2^12493728 is an apocalyptic number.

12493728 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 12493728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

12493728 is an abundant number, since it is smaller than the sum of its proper divisors (27132768).

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

12493728 is a wasteful number, since it uses less digits than its factorization.

12493728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 12493728 is about 3534.6467998939. The cubic root of 12493728 is about 232.0406191265.

The spelling of 12493728 in words is "twelve million, four hundred ninety-three thousand, seven hundred twenty-eight".