1082728129 has 16 divisors (see below), whose sum is σ = 1311923200. Its totient is φ = 872867664.

The previous prime is 1082728099. The next prime is 1082728187. The reversal of 1082728129 is 9218272801.

It is a cyclic number.

It is not a de Polignac number, because 1082728129 - 2²¹ = 1080630977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1082728091 and 1082728100.

It is not an unprimeable number, because it can be changed into a prime (1082728429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10797 + ... + 47770.

It is an arithmetic number, because the mean of its divisors is an integer number (81995200).

Almost surely, 2^1082728129 is an apocalyptic number.

1082728129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1082728129 is a deficient number, since it is larger than the sum of its proper divisors (229195071).

1082728129 is a wasteful number, since it uses less digits than its factorization.

1082728129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58732.

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 1082728129 is about 32904.8344320405. The cubic root of 1082728129 is about 1026.8487369769.

The spelling of 1082728129 in words is "one billion, eighty-two million, seven hundred twenty-eight thousand, one hundred twenty-nine".