285320448 has 144 divisors (see below), whose sum is σ = 964440960. Its totient is φ = 81506304.

The previous prime is 285320443. The next prime is 285320461. The reversal of 285320448 is 844023582.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285320443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45436 + ... + 51332.

Almost surely, 2^285320448 is an apocalyptic number.

285320448 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 285320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482220480).

285320448 is an abundant number, since it is smaller than the sum of its proper divisors (679120512).

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

285320448 is an equidigital number, since it uses as much as digits as its factorization.

285320448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5929 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 285320448 is about 16891.4312004637. The cubic root of 285320448 is about 658.3309895695.

The spelling of 285320448 in words is "two hundred eighty-five million, three hundred twenty thousand, four hundred forty-eight".