1536728096 has 48 divisors (see below), whose sum is σ = 3135124440. Its totient is φ = 740597760.

The previous prime is 1536728059. The next prime is 1536728111. The reversal of 1536728096 is 6908276351.

It can be written as a sum of positive squares in 4 ways, for example, as 1396068496 + 140659600 = 37364^2 + 11860^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1536728096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 760880 + ... + 762896.

Almost surely, 2^1536728096 is an apocalyptic number.

1536728096 is a gapful number since it is divisible by the number (16) 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 1536728096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567562220).

1536728096 is an abundant number, since it is smaller than the sum of its proper divisors (1598396344).

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

1536728096 is a wasteful number, since it uses less digits than its factorization.

1536728096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 1536728096 is about 39201.1236573647. The cubic root of 1536728096 is about 1153.9819358057.

The spelling of 1536728096 in words is "one billion, five hundred thirty-six million, seven hundred twenty-eight thousand, ninety-six".