285738000 has 80 divisors (see below), whose sum is σ = 921238656. Its totient is φ = 76195200.

The previous prime is 285737981. The next prime is 285738007. The reversal of 285738000 is 837582.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (285738007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17812 + ... + 29811.

Almost surely, 2^285738000 is an apocalyptic number.

285738000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

285738000 is an abundant number, since it is smaller than the sum of its proper divisors (635500656).

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

285738000 is a wasteful number, since it uses less digits than its factorization.

285738000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47649 (or 47633 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 285738000 is about 16903.7865580467. The cubic root of 285738000 is about 658.6519777048.

The spelling of 285738000 in words is "two hundred eighty-five million, seven hundred thirty-eight thousand".