445705728 has 240 divisors, whose sum is σ = 1374862896. Its totient is φ = 127795200.

The previous prime is 445705657. The next prime is 445705739. The reversal of 445705728 is 827507544.

It is a self number, because there is not a number n which added to its sum of digits gives 445705728.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4412878 + ... + 4412978.

Almost surely, 2^445705728 is an apocalyptic number.

445705728 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 445705728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687431448).

445705728 is an abundant number, since it is smaller than the sum of its proper divisors (929157168).

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

445705728 is a wasteful number, since it uses less digits than its factorization.

445705728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 445705728 is about 21111.7438408105. The cubic root of 445705728 is about 763.8640511737.

The spelling of 445705728 in words is "four hundred forty-five million, seven hundred five thousand, seven hundred twenty-eight".