1143829728 has 48 divisors (see below), whose sum is σ = 3336172560. Its totient is φ = 381276288.

The previous prime is 1143829669. The next prime is 1143829733. The reversal of 1143829728 is 8279283411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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, 661075 + ... + 662802.

It is an arithmetic number, because the mean of its divisors is an integer number (69503595).

Almost surely, 2^1143829728 is an apocalyptic number.

1143829728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1143829728 is an abundant number, since it is smaller than the sum of its proper divisors (2192342832).

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

1143829728 is a wasteful number, since it uses less digits than its factorization.

1143829728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323896 (or 1323882 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1143829728 is about 33820.5518583006. The cubic root of 1143829728 is about 1045.8124152547.

The spelling of 1143829728 in words is "one billion, one hundred forty-three million, eight hundred twenty-nine thousand, seven hundred twenty-eight".