12761028 has 72 divisors (see below), whose sum is σ = 37390080. Its totient is φ = 3594240.

The previous prime is 12761011. The next prime is 12761059. The reversal of 12761028 is 82016721.

12761028 is a `hidden beast` number, since 1 + 27 + 610 + 28 = 666.

12761028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12760992 and 12761010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19588 + ... + 20228.

Almost surely, 2^12761028 is an apocalyptic number.

12761028 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 12761028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18695040).

12761028 is an abundant number, since it is smaller than the sum of its proper divisors (24629052).

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

12761028 is a wasteful number, since it uses less digits than its factorization.

12761028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 12761028 is about 3572.2581093756. The cubic root of 12761028 is about 233.6837718329.

Adding to 12761028 its reverse (82016721), we get a palindrome (94777749).

It can be divided in two parts, 1276 and 1028, that added together give a square (2304 = 48²).

The spelling of 12761028 in words is "twelve million, seven hundred sixty-one thousand, twenty-eight".