12392928 has 72 divisors (see below), whose sum is σ = 36226008. Its totient is φ = 4015872.

The previous prime is 12392927. The next prime is 12392951. The reversal of 12392928 is 82929321.

12392928 is digitally balanced in base 2 and base 4, because in such bases 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 (72).

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 = 12392892 and 12392901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12392927) 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, 10075 + ... + 11237.

It is an arithmetic number, because the mean of its divisors is an integer number (503139).

Almost surely, 2^12392928 is an apocalyptic number.

12392928 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 12392928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113004).

12392928 is an abundant number, since it is smaller than the sum of its proper divisors (23833080).

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

12392928 is a wasteful number, since it uses less digits than its factorization.

12392928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1205 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 12392928 is about 3520.3590725947. The cubic root of 12392928 is about 231.4148950047.

The spelling of 12392928 in words is "twelve million, three hundred ninety-two thousand, nine hundred twenty-eight".