1288219728 has 20 divisors (see below), whose sum is σ = 3327901088. Its totient is φ = 429406560.

The previous prime is 1288219721. The next prime is 1288219733. The reversal of 1288219728 is 8279128821.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 26837911 = 1288219728 / (1 + 2 + 8 + 8 + 2 + 1 + 9 + 7 + 2 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288219721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13418908 + ... + 13419003.

Almost surely, 2^1288219728 is an apocalyptic number.

It is an amenable number.

1288219728 is an abundant number, since it is smaller than the sum of its proper divisors (2039681360).

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

1288219728 is a wasteful number, since it uses less digits than its factorization.

1288219728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26837922 (or 26837916 counting only the distinct ones).

The product of its digits is 258048, while the sum is 48.

The square root of 1288219728 is about 35891.7779999821. Note that the first 3 decimals coincide. The cubic root of 1288219728 is about 1088.0862325323.

The spelling of 1288219728 in words is "one billion, two hundred eighty-eight million, two hundred nineteen thousand, seven hundred twenty-eight".