1429272768 has 224 divisors, whose sum is σ = 4813401600. Its totient is φ = 371051520.

The previous prime is 1429272737. The next prime is 1429272781. The reversal of 1429272768 is 8672729241.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 723430 + ... + 725402.

It is an arithmetic number, because the mean of its divisors is an integer number (21488400).

Almost surely, 2^1429272768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406700800).

1429272768 is an abundant number, since it is smaller than the sum of its proper divisors (3384128832).

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

1429272768 is a wasteful number, since it uses less digits than its factorization.

1429272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 1996 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 1429272768 is about 37805.7240110542. The cubic root of 1429272768 is about 1126.4321561014.

The spelling of 1429272768 in words is "one billion, four hundred twenty-nine million, two hundred seventy-two thousand, seven hundred sixty-eight".