36285288 has 64 divisors (see below), whose sum is σ = 102849600. Its totient is φ = 10575360.

The previous prime is 36285229. The next prime is 36285289. The reversal of 36285288 is 88258263.

It is not an unprimeable number, because it can be changed into a prime (36285289) 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, 2868 + ... + 8988.

It is an arithmetic number, because the mean of its divisors is an integer number (1607025).

Almost surely, 2^36285288 is an apocalyptic number.

36285288 is a gapful number since it is divisible by the number (38) 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 36285288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51424800).

36285288 is an abundant number, since it is smaller than the sum of its proper divisors (66564312).

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

36285288 is a wasteful number, since it uses less digits than its factorization.

36285288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6162 (or 6158 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 36285288 is about 6023.7270854513. The cubic root of 36285288 is about 331.0626533827.

The spelling of 36285288 in words is "thirty-six million, two hundred eighty-five thousand, two hundred eighty-eight".