1536379728 has 80 divisors (see below), whose sum is σ = 4281392640. Its totient is φ = 471946752.

The previous prime is 1536379727. The next prime is 1536379739. The reversal of 1536379728 is 8279736351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1536379727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455713 + ... + 459071.

It is an arithmetic number, because the mean of its divisors is an integer number (53517408).

Almost surely, 2^1536379728 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 1536379728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140696320).

1536379728 is an abundant number, since it is smaller than the sum of its proper divisors (2745012912).

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

1536379728 is a wasteful number, since it uses less digits than its factorization.

1536379728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4110 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 1536379728 is about 39196.6800634952. The cubic root of 1536379728 is about 1153.8947287147.

The spelling of 1536379728 in words is "one billion, five hundred thirty-six million, three hundred seventy-nine thousand, seven hundred twenty-eight".