285538608 has 90 divisors (see below), whose sum is σ = 831777492. Its totient is φ = 94828320.

The previous prime is 285538607. The next prime is 285538633. The reversal of 285538608 is 806835582.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

285538608 is a `hidden beast` number, since 2 + 8 + 5 + 5 + 38 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (285538601) 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 17 ways as a sum of consecutive naturals, for example, 1053513 + ... + 1053783.

Almost surely, 2^285538608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285538608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415888746).

285538608 is an abundant number, since it is smaller than the sum of its proper divisors (546238884).

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

285538608 is an frugal number, since it uses more digits than its factorization.

285538608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 276 counting only the distinct ones).

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

The square root of 285538608 is about 16897.8876786420. The cubic root of 285538608 is about 658.4987365131.

It can be divided in two parts, 285538 and 608, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 285538608 in words is "two hundred eighty-five million, five hundred thirty-eight thousand, six hundred eight".