312728607 has 28 divisors (see below), whose sum is σ = 480360384. Its totient is φ = 203381280.

The previous prime is 312728587. The next prime is 312728627. The reversal of 312728607 is 706827213.

312728607 is a `hidden beast` number, since 3 + 1 + 27 + 28 + 607 = 666.

It is an interprime number because it is at equal distance from previous prime (312728587) and next prime (312728627).

It is not a de Polignac number, because 312728607 - 2²³ = 304339999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312728627) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 24658 + ... + 35120.

It is an arithmetic number, because the mean of its divisors is an integer number (17155728).

Almost surely, 2^312728607 is an apocalyptic number.

312728607 is a deficient number, since it is larger than the sum of its proper divisors (167631777).

312728607 is an equidigital number, since it uses as much as digits as its factorization.

312728607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522 (or 10507 counting only the distinct ones).

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

The square root of 312728607 is about 17684.1343299580. The cubic root of 312728607 is about 678.7698397790.

The spelling of 312728607 in words is "three hundred twelve million, seven hundred twenty-eight thousand, six hundred seven".