1729139328 has 192 divisors, whose sum is σ = 5870891520. Its totient is φ = 478033920.

The previous prime is 1729139317. The next prime is 1729139369. The reversal of 1729139328 is 8239319271.

1729139328 is a `hidden beast` number, since 1 + 7 + 291 + 39 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246526 + ... + 253442.

It is an arithmetic number, because the mean of its divisors is an integer number (30577560).

Almost surely, 2^1729139328 is an apocalyptic number.

1729139328 is a gapful number since it is divisible by the number (18) 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 1729139328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935445760).

1729139328 is an abundant number, since it is smaller than the sum of its proper divisors (4141752192).

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

1729139328 is a wasteful number, since it uses less digits than its factorization.

1729139328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6975 (or 6960 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1729139328 is about 41582.9211095132. The cubic root of 1729139328 is about 1200.2636753918.

The spelling of 1729139328 in words is "one billion, seven hundred twenty-nine million, one hundred thirty-nine thousand, three hundred twenty-eight".