85563828 has 36 divisors (see below), whose sum is σ = 247185120. Its totient is φ = 24446736.

The previous prime is 85563827. The next prime is 85563847. The reversal of 85563828 is 82836558.

It is a happy number.

85563828 is a `hidden beast` number, since 8 + 5 + 5 + 638 + 2 + 8 = 666.

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 (85563827) 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, 169518 + ... + 170021.

Almost surely, 2^85563828 is an apocalyptic number.

It is an amenable number.

85563828 is an abundant number, since it is smaller than the sum of its proper divisors (161621292).

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

85563828 is a wasteful number, since it uses less digits than its factorization.

85563828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339556 (or 339551 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 85563828 is about 9250.0717835053. The cubic root of 85563828 is about 440.6530042259.

The spelling of 85563828 in words is "eighty-five million, five hundred sixty-three thousand, eight hundred twenty-eight".