286038090 has 192 divisors, whose sum is σ = 863999136. Its totient is φ = 65028096.

The previous prime is 286038059. The next prime is 286038091. The reversal of 286038090 is 90830682.

It can be written as a sum of positive squares in 16 ways, for example, as 99141849 + 186896241 = 9957^2 + 13671^2 .

It is not an unprimeable number, because it can be changed into a prime (286038091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1451872 + ... + 1452068.

Almost surely, 2^286038090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286038090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431999568).

286038090 is an abundant number, since it is smaller than the sum of its proper divisors (577961046).

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

286038090 is a wasteful number, since it uses less digits than its factorization.

286038090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 286038090 is about 16912.6606422526. The cubic root of 286038090 is about 658.8824752446.

The spelling of 286038090 in words is "two hundred eighty-six million, thirty-eight thousand, ninety".