268828816 has 15 divisors (see below), whose sum is σ = 520982931. Its totient is φ = 134381616.

The previous prime is 268828801. The next prime is 268828817. The reversal of 268828816 is 618828862.

The square root of 268828816 is 16396.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 268828816.

It is not an unprimeable number, because it can be changed into a prime (268828817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 63535 + ... + 67633.

Almost surely, 2^268828816 is an apocalyptic number.

268828816 is the 16396-th square number.

It is an amenable number.

268828816 is a deficient number, since it is larger than the sum of its proper divisors (252154115).

268828816 is an frugal number, since it uses more digits than its factorization.

268828816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8206 (or 4101 counting only the distinct ones).

The product of its digits is 589824, while the sum is 49.

The cubic root of 268828816 is about 645.3945193714.

Multiplying 268828816 by its sum of digits (49), we get a square (13172611984 = 114772²).

Multiplying 268828816 by its product of digits (589824), we get a square (158561687568384 = 12592128²).

The spelling of 268828816 in words is "two hundred sixty-eight million, eight hundred twenty-eight thousand, eight hundred sixteen".