1729229056 has 81 divisors (see below), whose sum is σ = 3640516789. Its totient is φ = 819703808.

The previous prime is 1729229041. The next prime is 1729229087. The reversal of 1729229056 is 6509229271.

The square root of 1729229056 is 41584.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30470400 + 1698758656 = 5520^2 + 41216^2 .

It is a super-2 number, since 2×1729229056² = 5980466256229302272, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15302856 + ... + 15302968.

Almost surely, 2^1729229056 is an apocalyptic number.

1729229056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1729229056 is the 41584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1729229056

1729229056 is an abundant number, since it is smaller than the sum of its proper divisors (1911287733).

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

1729229056 is an frugal number, since it uses more digits than its factorization.

1729229056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The cubic root of 1729229056 is about 1200.2844362784.

The spelling of 1729229056 in words is "one billion, seven hundred twenty-nine million, two hundred twenty-nine thousand, fifty-six".