285823890 has 288 divisors, whose sum is σ = 917227584. Its totient is φ = 63452160.

The previous prime is 285823883. The next prime is 285823891. The reversal of 285823890 is 98328582.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (285823891) 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 143 ways as a sum of consecutive naturals, for example, 7724952 + ... + 7724988.

It is an arithmetic number, because the mean of its divisors is an integer number (3184818).

Almost surely, 2^285823890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285823890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458613792).

285823890 is an abundant number, since it is smaller than the sum of its proper divisors (631403694).

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

285823890 is a wasteful number, since it uses less digits than its factorization.

285823890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 285823890 is about 16906.3269221910. The cubic root of 285823890 is about 658.7179658373.

The spelling of 285823890 in words is "two hundred eighty-five million, eight hundred twenty-three thousand, eight hundred ninety".