1129428480 has 160 divisors (see below), whose sum is σ = 3633696000. Its totient is φ = 299261952.

The previous prime is 1129428451. The next prime is 1129428491. The reversal of 1129428480 is 848249211.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1129428480² = 2551217382870220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1527951 + ... + 1528689.

It is an arithmetic number, because the mean of its divisors is an integer number (22710600).

Almost surely, 2^1129428480 is an apocalyptic number.

1129428480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816848000).

1129428480 is an abundant number, since it is smaller than the sum of its proper divisors (2504267520).

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

1129428480 is an equidigital number, since it uses as much as digits as its factorization.

1129428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 1129428480 is about 33606.9707054950. The cubic root of 1129428480 is about 1041.4048076786.

The spelling of 1129428480 in words is "one billion, one hundred twenty-nine million, four hundred twenty-eight thousand, four hundred eighty".