85928001 has 16 divisors (see below), whose sum is σ = 118886400. Its totient is φ = 55146960.

The previous prime is 85927997. The next prime is 85928021. The reversal of 85928001 is 10082958.

It is a happy number.

It is not a de Polignac number, because 85928001 - 2² = 85927997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85928021) 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 15 ways as a sum of consecutive naturals, for example, 16186 + ... + 20828.

It is an arithmetic number, because the mean of its divisors is an integer number (7430400).

Almost surely, 2^85928001 is an apocalyptic number.

It is an amenable number.

85928001 is a deficient number, since it is larger than the sum of its proper divisors (32958399).

85928001 is a wasteful number, since it uses less digits than its factorization.

85928001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876.

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 85928001 is about 9269.7357567516. The cubic root of 85928001 is about 441.2772820299.

The spelling of 85928001 in words is "eighty-five million, nine hundred twenty-eight thousand, one".