1141628928 has 224 divisors, whose sum is σ = 3434925312. Its totient is φ = 334233600.

The previous prime is 1141628893. The next prime is 1141628933. The reversal of 1141628928 is 8298261411.

It is a self number, because there is not a number n which added to its sum of digits gives 1141628928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11083725 + ... + 11083827.

It is an arithmetic number, because the mean of its divisors is an integer number (15334488).

Almost surely, 2^1141628928 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 1141628928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717462656).

1141628928 is an abundant number, since it is smaller than the sum of its proper divisors (2293296384).

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

1141628928 is a wasteful number, since it uses less digits than its factorization.

1141628928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 160 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 1141628928 is about 33787.9997632295. Note that the first 3 decimals coincide. The cubic root of 1141628928 is about 1045.1412484300.

The spelling of 1141628928 in words is "one billion, one hundred forty-one million, six hundred twenty-eight thousand, nine hundred twenty-eight".