285730368 has 252 divisors, whose sum is σ = 970489296. Its totient is φ = 73920000.

The previous prime is 285730327. The next prime is 285730421. The reversal of 285730368 is 863037582.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1138243 + ... + 1138493.

It is an arithmetic number, because the mean of its divisors is an integer number (3851148).

Almost surely, 2^285730368 is an apocalyptic number.

285730368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285730368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485244648).

285730368 is an abundant number, since it is smaller than the sum of its proper divisors (684758928).

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

285730368 is a wasteful number, since it uses less digits than its factorization.

285730368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 285730368 is about 16903.5608083031. The cubic root of 285730368 is about 658.6461135021.

The spelling of 285730368 in words is "two hundred eighty-five million, seven hundred thirty thousand, three hundred sixty-eight".