45116928 has 60 divisors (see below), whose sum is σ = 130223808. Its totient is φ = 15037440.

The previous prime is 45116927. The next prime is 45116941. The reversal of 45116928 is 82961154.

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 = 45116892 and 45116901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45116921) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 288 + ... + 9503.

Almost surely, 2^45116928 is an apocalyptic number.

45116928 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 45116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65111904).

45116928 is an abundant number, since it is smaller than the sum of its proper divisors (85106880).

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

45116928 is an equidigital number, since it uses as much as digits as its factorization.

45116928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9815 (or 9796 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 45116928 is about 6716.9135769340. The cubic root of 45116928 is about 355.9971383854.

The spelling of 45116928 in words is "forty-five million, one hundred sixteen thousand, nine hundred twenty-eight".