1129468032 has 576 divisors, whose sum is σ = 4407942240. Its totient is φ = 273530880.

The previous prime is 1129468013. The next prime is 1129468051. The reversal of 1129468032 is 2308649211.

It is an interprime number because it is at equal distance from previous prime (1129468013) and next prime (1129468051).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10555723 + ... + 10555829.

Almost surely, 2^1129468032 is an apocalyptic number.

1129468032 is a gapful number since it is divisible by the number (12) 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 1129468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203971120).

1129468032 is an abundant number, since it is smaller than the sum of its proper divisors (3278474208).

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

1129468032 is a wasteful number, since it uses less digits than its factorization.

1129468032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1129468032 is about 33607.5591496913. The cubic root of 1129468032 is about 1041.4169640223.

The spelling of 1129468032 in words is "one billion, one hundred twenty-nine million, four hundred sixty-eight thousand, thirty-two".