1729049280 has 448 divisors, whose sum is σ = 6583680000. Its totient is φ = 384147456.

The previous prime is 1729049279. The next prime is 1729049293. The reversal of 1729049280 is 829409271.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1729049280² = 5979222825337036800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19427476 + ... + 19427564.

Almost surely, 2^1729049280 is an apocalyptic number.

1729049280 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 1729049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291840000).

1729049280 is an abundant number, since it is smaller than the sum of its proper divisors (4854630720).

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

1729049280 is an equidigital number, since it uses as much as digits as its factorization.

1729049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 1729049280 is about 41581.8383431998. The cubic root of 1729049280 is about 1200.2428397430.

The spelling of 1729049280 in words is "one billion, seven hundred twenty-nine million, forty-nine thousand, two hundred eighty".