1493065728 has 336 divisors, whose sum is σ = 5397739776. Its totient is φ = 386334720.

The previous prime is 1493065711. The next prime is 1493065747. The reversal of 1493065728 is 8275603941.

1493065728 is a `hidden beast` number, since 1 + 49 + 30 + 6 + 572 + 8 = 666.

1493065728 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

1493065728 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5676925 + ... + 5677187.

It is a 1-persistent number, because it is pandigital, but 2⋅1493065728 = 2986131456 is not.

Almost surely, 2^1493065728 is an apocalyptic number.

1493065728 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 1493065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698869888).

1493065728 is an abundant number, since it is smaller than the sum of its proper divisors (3904674048).

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

1493065728 is a wasteful number, since it uses less digits than its factorization.

1493065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1493065728 is about 38640.2086950886. The cubic root of 1493065728 is about 1142.9475707495.

The spelling of 1493065728 in words is "one billion, four hundred ninety-three million, sixty-five thousand, seven hundred twenty-eight".