1450441728 has 308 divisors, whose sum is σ = 4564236840. Its totient is φ = 459841536.

The previous prime is 1450441723. The next prime is 1450441739. The reversal of 1450441728 is 8271440541.

It is a happy number.

1450441728 is a `hidden beast` number, since 145 + 0 + 441 + 72 + 8 = 666.

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 = 1450441692 and 1450441701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1450441723) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21648351 + ... + 21648417.

Almost surely, 2^1450441728 is an apocalyptic number.

1450441728 is a gapful number since it is divisible by the number (18) 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 1450441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282118420).

1450441728 is an abundant number, since it is smaller than the sum of its proper divisors (3113795112).

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

1450441728 is an frugal number, since it uses more digits than its factorization.

1450441728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 101 counting only the distinct ones).

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

The square root of 1450441728 is about 38084.6652604431. The cubic root of 1450441728 is about 1131.9661200097.

The spelling of 1450441728 in words is "one billion, four hundred fifty million, four hundred forty-one thousand, seven hundred twenty-eight".