1260728832 has 320 divisors, whose sum is σ = 3959746560. Its totient is φ = 352665600.

The previous prime is 1260728797. The next prime is 1260728837. The reversal of 1260728832 is 2388270621.

It is not an unprimeable number, because it can be changed into a prime (1260728837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15189463 + ... + 15189545.

It is an arithmetic number, because the mean of its divisors is an integer number (12374208).

Almost surely, 2^1260728832 is an apocalyptic number.

1260728832 is a gapful number since it is divisible by the number (12) 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 1260728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979873280).

1260728832 is an abundant number, since it is smaller than the sum of its proper divisors (2699017728).

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

1260728832 is a wasteful number, since it uses less digits than its factorization.

1260728832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 1260728832 is about 35506.7434721913. The cubic root of 1260728832 is about 1080.2905116967.

The spelling of 1260728832 in words is "one billion, two hundred sixty million, seven hundred twenty-eight thousand, eight hundred thirty-two".