288827780329 has 9 divisors (see below), whose sum is σ = 317478355831. Its totient is φ = 262565335120.

The previous prime is 288827780207. The next prime is 288827780341. The reversal of 288827780329 is 923087728882.

The square root of 288827780329 is 537427.

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., 288449555625 + 378224704 = 537075^2 + 19448^2 .

It is not a de Polignac number, because 288827780329 - 2¹⁵ = 288827747561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288827780359) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5887269 + ... + 5936125.

Almost surely, 2^288827780329 is an apocalyptic number.

288827780329 is the 537427-th square number.

288827780329 is the 268714-th centered octagonal number.

It is an amenable number.

288827780329 is a deficient number, since it is larger than the sum of its proper divisors (28650575502).

288827780329 is an frugal number, since it uses more digits than its factorization.

288827780329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97736 (or 48868 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 64.

Multiplying 288827780329 by its sum of digits (64), we get a square (18484977941056 = 4299416²).

It can be divided in two parts, 288827 and 780329, that added together give a square (1069156 = 1034²).

The spelling of 288827780329 in words is "two hundred eighty-eight billion, eight hundred twenty-seven million, seven hundred eighty thousand, three hundred twenty-nine".