45191328 has 144 divisors (see below), whose sum is σ = 148811040. Its totient is φ = 11902464.

The previous prime is 45191327. The next prime is 45191357. The reversal of 45191328 is 82319154.

It is a super-2 number, since 2×45191328² = 4084512252807168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45191327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60783 + ... + 61521.

It is an arithmetic number, because the mean of its divisors is an integer number (1033410).

Almost surely, 2^45191328 is an apocalyptic number.

45191328 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 45191328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74405520).

45191328 is an abundant number, since it is smaller than the sum of its proper divisors (103619712).

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

45191328 is a wasteful number, since it uses less digits than its factorization.

45191328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 764 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 45191328 is about 6722.4495535482. The cubic root of 45191328 is about 356.1927164282.

The spelling of 45191328 in words is "forty-five million, one hundred ninety-one thousand, three hundred twenty-eight".