285072768 has 96 divisors (see below), whose sum is σ = 827026200. Its totient is φ = 94248960.

The previous prime is 285072763. The next prime is 285072769. The reversal of 285072768 is 867270582.

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

It is a super-6 number, since 6×285072768⁶ (a number of 52 digits) contains 666666 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285072761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149968 + ... + 151856.

Almost surely, 2^285072768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413513100).

285072768 is an abundant number, since it is smaller than the sum of its proper divisors (541953432).

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

285072768 is a wasteful number, since it uses less digits than its factorization.

285072768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 285072768 is about 16884.0980807386. The cubic root of 285072768 is about 658.1404405162.

The spelling of 285072768 in words is "two hundred eighty-five million, seventy-two thousand, seven hundred sixty-eight".