45995328 has 84 divisors (see below), whose sum is σ = 134721600. Its totient is φ = 14996736.

The previous prime is 45995293. The next prime is 45995357. The reversal of 45995328 is 82359954.

45995328 is a `hidden beast` number, since 4 + 599 + 53 + 2 + 8 = 666.

45995328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 26223 + ... + 27921.

Almost surely, 2^45995328 is an apocalyptic number.

45995328 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 45995328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67360800).

45995328 is an abundant number, since it is smaller than the sum of its proper divisors (88726272).

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

45995328 is a wasteful number, since it uses less digits than its factorization.

45995328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1751 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 45995328 is about 6781.9855499699. The cubic root of 45995328 is about 358.2926562564.

The spelling of 45995328 in words is "forty-five million, nine hundred ninety-five thousand, three hundred twenty-eight".