85728040 has 16 divisors (see below), whose sum is σ = 192888180. Its totient is φ = 34291200.

The previous prime is 85728037. The next prime is 85728043. The reversal of 85728040 is 4082758.

It is an interprime number because it is at equal distance from previous prime (85728037) and next prime (85728043).

It can be written as a sum of positive squares in 2 ways, for example, as 78747876 + 6980164 = 8874^2 + 2642^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85727987 and 85728005.

It is not an unprimeable number, because it can be changed into a prime (85728043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1071561 + ... + 1071640.

Almost surely, 2^85728040 is an apocalyptic number.

It is an amenable number.

85728040 is an abundant number, since it is smaller than the sum of its proper divisors (107160140).

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

85728040 is a wasteful number, since it uses less digits than its factorization.

85728040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143212 (or 2143208 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 85728040 is about 9258.9437842553. The cubic root of 85728040 is about 440.9347208939.

The spelling of 85728040 in words is "eighty-five million, seven hundred twenty-eight thousand, forty".