1141980728 has 128 divisors (see below), whose sum is σ = 2710609920. Its totient is φ = 440225280.

The previous prime is 1141980701. The next prime is 1141980733. The reversal of 1141980728 is 8270891411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1476950 + ... + 1477722.

It is an arithmetic number, because the mean of its divisors is an integer number (21176640).

Almost surely, 2^1141980728 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 1141980728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355304960).

1141980728 is an abundant number, since it is smaller than the sum of its proper divisors (1568629192).

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

1141980728 is a wasteful number, since it uses less digits than its factorization.

1141980728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 41.

The square root of 1141980728 is about 33793.2053525557. The cubic root of 1141980728 is about 1045.2485929798.

The spelling of 1141980728 in words is "one billion, one hundred forty-one million, nine hundred eighty thousand, seven hundred twenty-eight".