45751728 has 80 divisors (see below), whose sum is σ = 130813056. Its totient is φ = 13662720.

The previous prime is 45751723. The next prime is 45751733. The reversal of 45751728 is 82715754.

45751728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45751723) and next prime (45751733).

It is a super-2 number, since 2×45751728² = 4186441229971968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45751723) 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, 37951 + ... + 39137.

Almost surely, 2^45751728 is an apocalyptic number.

45751728 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 45751728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65406528).

45751728 is an abundant number, since it is smaller than the sum of its proper divisors (85061328).

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

45751728 is a wasteful number, since it uses less digits than its factorization.

45751728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1276 counting only the distinct ones).

The product of its digits is 78400, while the sum is 39.

The square root of 45751728 is about 6764.0023654638. The cubic root of 45751728 is about 357.6590076242.

The spelling of 45751728 in words is "forty-five million, seven hundred fifty-one thousand, seven hundred twenty-eight".