45875328 has 64 divisors (see below), whose sum is σ = 122685600. Its totient is φ = 15187968.

The previous prime is 45875309. The next prime is 45875339. The reversal of 45875328 is 82357854.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 45875328.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 73803 + ... + 74421.

Almost surely, 2^45875328 is an apocalyptic number.

45875328 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 45875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61342800).

45875328 is an abundant number, since it is smaller than the sum of its proper divisors (76810272).

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

45875328 is a wasteful number, since it uses less digits than its factorization.

45875328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 817 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 45875328 is about 6773.1328054306. The cubic root of 45875328 is about 357.9807944089.

The spelling of 45875328 in words is "forty-five million, eight hundred seventy-five thousand, three hundred twenty-eight".