45757728 has 36 divisors (see below), whose sum is σ = 130124358. Its totient is φ = 15252480.

The previous prime is 45757721. The next prime is 45757729. The reversal of 45757728 is 82775754.

45757728 is a `hidden beast` number, since 4 + 57 + 577 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43718544 + 2039184 = 6612^2 + 1428^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (45757721) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 79153 + ... + 79728.

Almost surely, 2^45757728 is an apocalyptic number.

45757728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45757728 is an abundant number, since it is smaller than the sum of its proper divisors (84366630).

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

45757728 is a wasteful number, since it uses less digits than its factorization.

45757728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158897 (or 158886 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 45757728 is about 6764.4458753101. The cubic root of 45757728 is about 357.6746417167.

It can be divided in two parts, 457 and 57728, that added together give a palindrome (58185).

The spelling of 45757728 in words is "forty-five million, seven hundred fifty-seven thousand, seven hundred twenty-eight".