12929328 has 60 divisors (see below), whose sum is σ = 37327720. Its totient is φ = 4284864.

The previous prime is 12929327. The next prime is 12929339. The reversal of 12929328 is 82392921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 = 12929292 and 12929301.

It is not an unprimeable number, because it can be changed into a prime (12929321) 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, 74650 + ... + 74822.

Almost surely, 2^12929328 is an apocalyptic number.

12929328 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 12929328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18663860).

12929328 is an abundant number, since it is smaller than the sum of its proper divisors (24398392).

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

12929328 is an equidigital number, since it uses as much as digits as its factorization.

12929328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 178 counting only the distinct ones).

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

The square root of 12929328 is about 3595.7374765130. The cubic root of 12929328 is about 234.7066083586.

Multiplying 12929328 by its product of digits (15552), we get a square (201076909056 = 448416²).

The spelling of 12929328 in words is "twelve million, nine hundred twenty-nine thousand, three hundred twenty-eight".