45082728 has 48 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 14814240.

The previous prime is 45082717. The next prime is 45082753. The reversal of 45082728 is 82728054.

It is a happy number.

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 = 45082692 and 45082701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 703 + ... + 9521.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^45082728 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 45082728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

45082728 is an abundant number, since it is smaller than the sum of its proper divisors (78750072).

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

45082728 is a wasteful number, since it uses less digits than its factorization.

45082728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8902 (or 8895 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 45082728 is about 6714.3672821793. The cubic root of 45082728 is about 355.9071634371.

The spelling of 45082728 in words is "forty-five million, eighty-two thousand, seven hundred twenty-eight".