85628628 has 36 divisors (see below), whose sum is σ = 220004148. Its totient is φ = 28074240.

The previous prime is 85628617. The next prime is 85628629. The reversal of 85628628 is 82682658.

85628628 is a `hidden beast` number, since 8 + 562 + 86 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10771524 + 74857104 = 3282^2 + 8652^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85628629) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17301 + ... + 21692.

Almost surely, 2^85628628 is an apocalyptic number.

It is an amenable number.

85628628 is an abundant number, since it is smaller than the sum of its proper divisors (134375520).

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

85628628 is a wasteful number, since it uses less digits than its factorization.

85628628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39064 (or 39059 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 85628628 is about 9253.5737961071. The cubic root of 85628628 is about 440.7642159767.

The spelling of 85628628 in words is "eighty-five million, six hundred twenty-eight thousand, six hundred twenty-eight".