12788952 has 64 divisors (see below), whose sum is σ = 35199360. Its totient is φ = 3840000.

The previous prime is 12788933. The next prime is 12788959. The reversal of 12788952 is 25988721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12788959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50827 + ... + 51077.

It is an arithmetic number, because the mean of its divisors is an integer number (549990).

Almost surely, 2^12788952 is an apocalyptic number.

12788952 is a gapful number since it is divisible by the number (12) 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 12788952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17599680).

12788952 is an abundant number, since it is smaller than the sum of its proper divisors (22410408).

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

12788952 is a wasteful number, since it uses less digits than its factorization.

12788952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 460 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 12788952 is about 3576.1644257500. The cubic root of 12788952 is about 233.8540985430.

The spelling of 12788952 in words is "twelve million, seven hundred eighty-eight thousand, nine hundred fifty-two".