45328896 has 100 divisors (see below), whose sum is σ = 135418602. Its totient is φ = 15095808.

The previous prime is 45328847. The next prime is 45328897. The reversal of 45328896 is 69882354.

It can be written as a sum of positive squares in only one way, i.e., 25401600 + 19927296 = 5040^2 + 4464^2 .

It is not an unprimeable number, because it can be changed into a prime (45328897) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40926 + ... + 42018.

Almost surely, 2^45328896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67709301).

45328896 is an abundant number, since it is smaller than the sum of its proper divisors (90089706).

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

45328896 is an equidigital number, since it uses as much as digits as its factorization.

45328896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1098 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 45328896 is about 6732.6737630751. The cubic root of 45328896 is about 356.5537818824.

The spelling of 45328896 in words is "forty-five million, three hundred twenty-eight thousand, eight hundred ninety-six".