45599328 has 96 divisors (see below), whose sum is σ = 134719200. Its totient is φ = 15003648.

The previous prime is 45599327. The next prime is 45599341. The reversal of 45599328 is 82399554.

45599328 is a `hidden beast` number, since 4 + 559 + 93 + 2 + 8 = 666.

45599328 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45599327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 76600 + ... + 77192.

It is an arithmetic number, because the mean of its divisors is an integer number (1403325).

Almost surely, 2^45599328 is an apocalyptic number.

45599328 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 45599328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67359600).

45599328 is an abundant number, since it is smaller than the sum of its proper divisors (89119872).

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

45599328 is a wasteful number, since it uses less digits than its factorization.

45599328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 687 counting only the distinct ones).

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

The square root of 45599328 is about 6752.7274489646. The cubic root of 45599328 is about 357.2614425559.

The spelling of 45599328 in words is "forty-five million, five hundred ninety-nine thousand, three hundred twenty-eight".