1129628160 has 320 divisors, whose sum is σ = 4095273600. Its totient is φ = 295059456.

The previous prime is 1129628111. The next prime is 1129628161. The reversal of 1129628160 is 618269211.

1129628160 is a `hidden beast` number, since 1 + 1 + 29 + 628 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1129628161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4077942 + ... + 4078218.

It is an arithmetic number, because the mean of its divisors is an integer number (12797730).

Almost surely, 2^1129628160 is an apocalyptic number.

1129628160 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 1129628160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047636800).

1129628160 is an abundant number, since it is smaller than the sum of its proper divisors (2965645440).

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

1129628160 is an equidigital number, since it uses as much as digits as its factorization.

1129628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1129628160 is about 33609.9413864410. The cubic root of 1129628160 is about 1041.4661766105.

The spelling of 1129628160 in words is "one billion, one hundred twenty-nine million, six hundred twenty-eight thousand, one hundred sixty".