85728116 has 12 divisors (see below), whose sum is σ = 150854340. Its totient is φ = 42626880.

The previous prime is 85728101. The next prime is 85728131. The reversal of 85728116 is 61182758.

It is an interprime number because it is at equal distance from previous prime (85728101) and next prime (85728131).

It can be written as a sum of positive squares in 2 ways, for example, as 34175716 + 51552400 = 5846^2 + 7180^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 85728116.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 58481 + ... + 59928.

It is an arithmetic number, because the mean of its divisors is an integer number (12571195).

Almost surely, 2^85728116 is an apocalyptic number.

It is an amenable number.

85728116 is a deficient number, since it is larger than the sum of its proper divisors (65126224).

85728116 is a wasteful number, since it uses less digits than its factorization.

85728116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118594 (or 118592 counting only the distinct ones).

The product of its digits is 26880, while the sum is 38.

The square root of 85728116 is about 9258.9478883942. The cubic root of 85728116 is about 440.9348511937.

The spelling of 85728116 in words is "eighty-five million, seven hundred twenty-eight thousand, one hundred sixteen".