45968928 has 24 divisors (see below), whose sum is σ = 120668688. Its totient is φ = 15322944.

The previous prime is 45968891. The next prime is 45968947. The reversal of 45968928 is 82986954.

45968928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×45968928² = 4226284682938368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 239326 + ... + 239517.

It is an arithmetic number, because the mean of its divisors is an integer number (5027862).

Almost surely, 2^45968928 is an apocalyptic number.

45968928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45968928 is an abundant number, since it is smaller than the sum of its proper divisors (74699760).

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

45968928 is a wasteful number, since it uses less digits than its factorization.

45968928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478856 (or 478848 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 45968928 is about 6780.0389379413. The cubic root of 45968928 is about 358.2240932317.

The spelling of 45968928 in words is "forty-five million, nine hundred sixty-eight thousand, nine hundred twenty-eight".