285145728 has 128 divisors (see below), whose sum is σ = 886110720. Its totient is φ = 79543296.

The previous prime is 285145667. The next prime is 285145801. The reversal of 285145728 is 827541582.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 285145728.

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, 114351 + ... + 116817.

It is an arithmetic number, because the mean of its divisors is an integer number (6922740).

Almost surely, 2^285145728 is an apocalyptic number.

285145728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443055360).

285145728 is an abundant number, since it is smaller than the sum of its proper divisors (600964992).

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

285145728 is a wasteful number, since it uses less digits than its factorization.

285145728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2522 counting only the distinct ones).

The product of its digits is 179200, while the sum is 42.

The square root of 285145728 is about 16886.2585554053. The cubic root of 285145728 is about 658.1965827087.

The spelling of 285145728 in words is "two hundred eighty-five million, one hundred forty-five thousand, seven hundred twenty-eight".