1027429344 has 144 divisors (see below), whose sum is σ = 2994277104. Its totient is φ = 334080000.

The previous prime is 1027429321. The next prime is 1027429399. The reversal of 1027429344 is 4439247201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1027429344² = 2111222113824540672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1027429299 and 1027429308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4093219 + ... + 4093469.

It is an arithmetic number, because the mean of its divisors is an integer number (20793591).

Almost surely, 2^1027429344 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 1027429344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497138552).

1027429344 is an abundant number, since it is smaller than the sum of its proper divisors (1966847760).

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

1027429344 is a wasteful number, since it uses less digits than its factorization.

1027429344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1027429344 is about 32053.5387125977. The cubic root of 1027429344 is about 1009.0607691730.

The spelling of 1027429344 in words is "one billion, twenty-seven million, four hundred twenty-nine thousand, three hundred forty-four".