12610728 has 96 divisors (see below), whose sum is σ = 38220000. Its totient is φ = 3872448.

The previous prime is 12610727. The next prime is 12610777. The reversal of 12610728 is 82701621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12610721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25023 + ... + 25521.

It is an arithmetic number, because the mean of its divisors is an integer number (398125).

Almost surely, 2^12610728 is an apocalyptic number.

12610728 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 12610728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19110000).

12610728 is an abundant number, since it is smaller than the sum of its proper divisors (25609272).

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

12610728 is a wasteful number, since it uses less digits than its factorization.

12610728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 517 counting only the distinct ones).

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

The square root of 12610728 is about 3551.1586841480. The cubic root of 12610728 is about 232.7626999438.

The spelling of 12610728 in words is "twelve million, six hundred ten thousand, seven hundred twenty-eight".