45581328 has 90 divisors (see below), whose sum is σ = 138205626. Its totient is φ = 14017536.

The previous prime is 45581321. The next prime is 45581329. The reversal of 45581328 is 82318554.

It is a happy number.

45581328 is a `hidden beast` number, since 45 + 581 + 32 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4210704 + 41370624 = 2052^2 + 6432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45581292 and 45581301.

It is not an unprimeable number, because it can be changed into a prime (45581321) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23400 + ... + 25272.

Almost surely, 2^45581328 is an apocalyptic number.

45581328 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 45581328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69102813).

45581328 is an abundant number, since it is smaller than the sum of its proper divisors (92624298).

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

45581328 is a wasteful number, since it uses less digits than its factorization.

45581328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1891 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 45581328 is about 6751.3945226153. The cubic root of 45581328 is about 357.2144275918.

It can be divided in two parts, 4558 and 1328, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 45581328 in words is "forty-five million, five hundred eighty-one thousand, three hundred twenty-eight".