802816128 has 48 divisors (see below), whose sum is σ = 2310190350. Its totient is φ = 267604992.

The previous prime is 802816123. The next prime is 802816129. The reversal of 802816128 is 821618208.

It can be written as a sum of positive squares in only one way, i.e., 779079744 + 23736384 = 27912^2 + 4872^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 802816092 and 802816101.

It is not an unprimeable number, because it can be changed into a prime (802816123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347293 + ... + 349596.

Almost surely, 2^802816128 is an apocalyptic number.

It is an amenable number.

802816128 is an abundant number, since it is smaller than the sum of its proper divisors (1507374222).

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

802816128 is a wasteful number, since it uses less digits than its factorization.

802816128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696909 (or 696894 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 802816128 is about 28334.0100938783. The cubic root of 802816128 is about 929.4057667646.

The spelling of 802816128 in words is "eight hundred two million, eight hundred sixteen thousand, one hundred twenty-eight".