45647628 has 48 divisors (see below), whose sum is σ = 116889696. Its totient is φ = 13777920.

The previous prime is 45647627. The next prime is 45647699. The reversal of 45647628 is 82674654.

It is a self number, because there is not a number n which added to its sum of digits gives 45647628.

It is not an unprimeable number, because it can be changed into a prime (45647621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5508 + ... + 11028.

It is an arithmetic number, because the mean of its divisors is an integer number (2435202).

Almost surely, 2^45647628 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 45647628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58444848).

45647628 is an abundant number, since it is smaller than the sum of its proper divisors (71242068).

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

45647628 is a wasteful number, since it uses less digits than its factorization.

45647628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594 (or 5592 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 45647628 is about 6756.3028351311. The cubic root of 45647628 is about 357.3875382642.

It can be divided in two parts, 456 and 47628, that added together give a palindrome (48084).

The spelling of 45647628 in words is "forty-five million, six hundred forty-seven thousand, six hundred twenty-eight".