85628851 has 32 divisors (see below), whose sum is σ = 114094080. Its totient is φ = 62294400.

The previous prime is 85628833. The next prime is 85628857. The reversal of 85628851 is 15882658.

It is not a de Polignac number, because 85628851 - 2¹³ = 85620659 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85628798 and 85628807.

It is not an unprimeable number, because it can be changed into a prime (85628857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68605 + ... + 69841.

It is an arithmetic number, because the mean of its divisors is an integer number (3565440).

Almost surely, 2^85628851 is an apocalyptic number.

85628851 is a deficient number, since it is larger than the sum of its proper divisors (28465229).

85628851 is a wasteful number, since it uses less digits than its factorization.

85628851 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315.

The product of its digits is 153600, while the sum is 43.

The square root of 85628851 is about 9253.5858454979. The cubic root of 85628851 is about 440.7645985993.

The spelling of 85628851 in words is "eighty-five million, six hundred twenty-eight thousand, eight hundred fifty-one".