45288288 has 192 divisors, whose sum is σ = 143700480. Its totient is φ = 13837824.

The previous prime is 45288281. The next prime is 45288317. The reversal of 45288288 is 88288254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45288281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 854470 + ... + 854522.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 2^45288288 is an apocalyptic number.

45288288 is a gapful number since it is divisible by the number (48) 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 45288288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71850240).

45288288 is an abundant number, since it is smaller than the sum of its proper divisors (98412192).

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

45288288 is a wasteful number, since it uses less digits than its factorization.

45288288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its digits is 327680, while the sum is 45.

The square root of 45288288 is about 6729.6573464033. The cubic root of 45288288 is about 356.4472768854.

The spelling of 45288288 in words is "forty-five million, two hundred eighty-eight thousand, two hundred eighty-eight".