285777312 has 96 divisors (see below), whose sum is σ = 775982592. Its totient is φ = 92031744.

The previous prime is 285777301. The next prime is 285777377. The reversal of 285777312 is 213777582.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441373 + ... + 442019.

It is an arithmetic number, because the mean of its divisors is an integer number (8083152).

Almost surely, 2^285777312 is an apocalyptic number.

285777312 is the 13803-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285777312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387991296).

285777312 is an abundant number, since it is smaller than the sum of its proper divisors (490205280).

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

285777312 is a wasteful number, since it uses less digits than its factorization.

285777312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

The product of its digits is 164640, while the sum is 42.

The square root of 285777312 is about 16904.9493344405. The cubic root of 285777312 is about 658.6821822269.

The spelling of 285777312 in words is "two hundred eighty-five million, seven hundred seventy-seven thousand, three hundred twelve".