45828288 has 112 divisors (see below), whose sum is σ = 147035520. Its totient is φ = 13881600.

The previous prime is 45828269. The next prime is 45828317. The reversal of 45828288 is 88282854.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17803 + ... + 20213.

Almost surely, 2^45828288 is an apocalyptic number.

45828288 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 45828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73517760).

45828288 is an abundant number, since it is smaller than the sum of its proper divisors (101207232).

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

45828288 is a wasteful number, since it uses less digits than its factorization.

45828288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2427 counting only the distinct ones).

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

The square root of 45828288 is about 6769.6593710467. The cubic root of 45828288 is about 357.8583961887.

The spelling of 45828288 in words is "forty-five million, eight hundred twenty-eight thousand, two hundred eighty-eight".