285553216 has 84 divisors (see below), whose sum is σ = 650097252. Its totient is φ = 123961344.

The previous prime is 285553201. The next prime is 285553237. The reversal of 285553216 is 612355582.

It is a happy number.

285553216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 59351616 + 226201600 = 7704^2 + 15040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183096 + ... + 184648.

It is an arithmetic number, because the mean of its divisors is an integer number (7739253).

Almost surely, 2^285553216 is an apocalyptic number.

285553216 is a gapful number since it is divisible by the number (26) 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 285553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325048626).

285553216 is an abundant number, since it is smaller than the sum of its proper divisors (364544036).

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

285553216 is a wasteful number, since it uses less digits than its factorization.

285553216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1585 counting only the distinct ones).

The product of its digits is 72000, while the sum is 37.

The square root of 285553216 is about 16898.3199164887. The cubic root of 285553216 is about 658.5099658007.

The spelling of 285553216 in words is "two hundred eighty-five million, five hundred fifty-three thousand, two hundred sixteen".