285769728 has 256 divisors, whose sum is σ = 943704000. Its totient is φ = 84934656.

The previous prime is 285769723. The next prime is 285769753. The reversal of 285769728 is 827967582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (285769723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15040503 + ... + 15040521.

Almost surely, 2^285769728 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 285769728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471852000).

285769728 is an abundant number, since it is smaller than the sum of its proper divisors (657934272).

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

285769728 is an equidigital number, since it uses as much as digits as its factorization.

285769728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 285769728 is about 16904.7250199463. The cubic root of 285769728 is about 658.6763554407.

The spelling of 285769728 in words is "two hundred eighty-five million, seven hundred sixty-nine thousand, seven hundred twenty-eight".