1141828016 has 40 divisors (see below), whose sum is σ = 2535313920. Its totient is φ = 488003904.

The previous prime is 1141828013. The next prime is 1141828033. The reversal of 1141828016 is 6108281411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1141828013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27215 + ... + 54993.

It is an arithmetic number, because the mean of its divisors is an integer number (63382848).

Almost surely, 2^1141828016 is an apocalyptic number.

1141828016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1141828016 is an abundant number, since it is smaller than the sum of its proper divisors (1393485904).

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

1141828016 is a wasteful number, since it uses less digits than its factorization.

1141828016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28161 (or 28155 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The square root of 1141828016 is about 33790.9457695401. The cubic root of 1141828016 is about 1045.2019987555.

The spelling of 1141828016 in words is "one billion, one hundred forty-one million, eight hundred twenty-eight thousand, sixteen".