12737628 has 48 divisors (see below), whose sum is σ = 33600000. Its totient is φ = 4171824.

The previous prime is 12737623. The next prime is 12737629. The reversal of 12737628 is 82673721.

12737628 is a `hidden beast` number, since 1 + 27 + 3 + 7 + 628 = 666.

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 = 12737592 and 12737601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12737623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5373 + ... + 7371.

It is an arithmetic number, because the mean of its divisors is an integer number (700000).

Almost surely, 2^12737628 is an apocalyptic number.

12737628 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 12737628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800000).

12737628 is an abundant number, since it is smaller than the sum of its proper divisors (20862372).

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

12737628 is a wasteful number, since it uses less digits than its factorization.

12737628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2063 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 12737628 is about 3568.9813672811. The cubic root of 12737628 is about 233.5408484981.

The spelling of 12737628 in words is "twelve million, seven hundred thirty-seven thousand, six hundred twenty-eight".