45083628 has 60 divisors (see below), whose sum is σ = 118491912. Its totient is φ = 14947200.

The previous prime is 45083569. The next prime is 45083659. The reversal of 45083628 is 82638054.

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 = 45083592 and 45083601.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112228 + ... + 112628.

Almost surely, 2^45083628 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 45083628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59245956).

45083628 is an abundant number, since it is smaller than the sum of its proper divisors (73408284).

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

45083628 is a wasteful number, since it uses less digits than its factorization.

45083628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45083628 is about 6714.4343023072. The cubic root of 45083628 is about 355.9095317818.

The spelling of 45083628 in words is "forty-five million, eighty-three thousand, six hundred twenty-eight".