1456273728 has 490 divisors, whose sum is σ = 5443334554. Its totient is φ = 384072192.

The previous prime is 1456273723. The next prime is 1456273817. The reversal of 1456273728 is 8273726541.

1456273728 is a `hidden beast` number, since 14 + 5 + 627 + 3 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1008189504 + 448084224 = 31752^2 + 21168^2 .

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1456273728 = 276³ + 1128³ = 756³ + 1008³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456273723) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 112021050 + ... + 112021062.

It is a vampire number, since it can be written as 27783 ⋅ 52416 (with its own digits).

Almost surely, 2^1456273728 is an apocalyptic number.

1456273728 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 1456273728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721667277).

1456273728 is an abundant number, since it is smaller than the sum of its proper divisors (3987060826).

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

1456273728 is an frugal number, since it uses more digits than its factorization.

1456273728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 25 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 1456273728 is about 38161.1546995109. The cubic root of 1456273728 is about 1133.4812442094.

The spelling of 1456273728 in words is "one billion, four hundred fifty-six million, two hundred seventy-three thousand, seven hundred twenty-eight".