12773728 has 36 divisors (see below), whose sum is σ = 27650700. Its totient is φ = 5804480.

The previous prime is 12773711. The next prime is 12773737. The reversal of 12773728 is 82737721.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2223 + ... + 5521.

It is an arithmetic number, because the mean of its divisors is an integer number (768075).

Almost surely, 2^12773728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12773728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825350).

12773728 is an abundant number, since it is smaller than the sum of its proper divisors (14876972).

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

12773728 is a wasteful number, since it uses less digits than its factorization.

12773728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3312 counting only the distinct ones).

The product of its digits is 32928, while the sum is 37.

The square root of 12773728 is about 3574.0352544428. The cubic root of 12773728 is about 233.7612681996.

It can be divided in two parts, 127737 and 28, that added together give a triangular number (127765 = T₅₀₅).

The spelling of 12773728 in words is "twelve million, seven hundred seventy-three thousand, seven hundred twenty-eight".