12928608 has 216 divisors, whose sum is σ = 47056464. Its totient is φ = 3294720.

The previous prime is 12928583. The next prime is 12928613. The reversal of 12928608 is 80682921.

12928608 is a `hidden beast` number, since 1 + 29 + 28 + 608 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243910 + ... + 243962.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 2^12928608 is an apocalyptic number.

12928608 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 12928608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232).

12928608 is an abundant number, since it is smaller than the sum of its proper divisors (34127856).

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

12928608 is a wasteful number, since it uses less digits than its factorization.

12928608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 12928608 is about 3595.6373565753. The cubic root of 12928608 is about 234.7022515481.

12928608 divided by its sum of digits (36) gives a triangular number (359128 = T₈₄₇).

The spelling of 12928608 in words is "twelve million, nine hundred twenty-eight thousand, six hundred eight".