45128080 has 40 divisors (see below), whose sum is σ = 105620472. Its totient is φ = 17931264.

The previous prime is 45128023. The next prime is 45128087. The reversal of 45128080 is 8082154.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 44462224 = 816^2 + 6668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (45128087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10764 + ... + 14356.

Almost surely, 2^45128080 is an apocalyptic number.

45128080 is a gapful number since it is divisible by the number (40) 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 45128080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52810236).

45128080 is an abundant number, since it is smaller than the sum of its proper divisors (60492392).

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

45128080 is a wasteful number, since it uses less digits than its factorization.

45128080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3763 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 45128080 is about 6717.7436688221. The cubic root of 45128080 is about 356.0264677540.

The spelling of 45128080 in words is "forty-five million, one hundred twenty-eight thousand, eighty".