1536938728 has 144 divisors (see below), whose sum is σ = 3413638080. Its totient is φ = 647906688.

The previous prime is 1536938719. The next prime is 1536938743. The reversal of 1536938728 is 8278396351.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22939351 + ... + 22939417.

It is an arithmetic number, because the mean of its divisors is an integer number (23705820).

Almost surely, 2^1536938728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1536938728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706819040).

1536938728 is an abundant number, since it is smaller than the sum of its proper divisors (1876699352).

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

1536938728 is a wasteful number, since it uses less digits than its factorization.

1536938728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 148 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 1536938728 is about 39203.8101209564. The cubic root of 1536938728 is about 1154.0346569994.

The spelling of 1536938728 in words is "one billion, five hundred thirty-six million, nine hundred thirty-eight thousand, seven hundred twenty-eight".