112728405 has 32 divisors (see below), whose sum is σ = 189294336. Its totient is φ = 57176064.

The previous prime is 112728401. The next prime is 112728437. The reversal of 112728405 is 504827211.

It is not a de Polignac number, because 112728405 - 2² = 112728401 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112728401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65739 + ... + 67431.

It is an arithmetic number, because the mean of its divisors is an integer number (5915448).

Almost surely, 2^112728405 is an apocalyptic number.

112728405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112728405 is a deficient number, since it is larger than the sum of its proper divisors (76565931).

112728405 is a wasteful number, since it uses less digits than its factorization.

112728405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 112728405 is about 10617.3633732674. The cubic root of 112728405 is about 483.0711716081.

The spelling of 112728405 in words is "one hundred twelve million, seven hundred twenty-eight thousand, four hundred five".