285573120 has 256 divisors, whose sum is σ = 1056948480. Its totient is φ = 64487424.

The previous prime is 285573107. The next prime is 285573149. The reversal of 285573120 is 21375582.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3440599 + ... + 3440681.

It is an arithmetic number, because the mean of its divisors is an integer number (4128705).

Almost surely, 2^285573120 is an apocalyptic number.

285573120 is a gapful number since it is divisible by the number (20) 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 285573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528474240).

285573120 is an abundant number, since it is smaller than the sum of its proper divisors (771375360).

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

285573120 is an frugal number, since it uses more digits than its factorization.

285573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 285573120 is about 16898.9088405139. The cubic root of 285573120 is about 658.5252655500.

The spelling of 285573120 in words is "two hundred eighty-five million, five hundred seventy-three thousand, one hundred twenty".