822128272 has 30 divisors (see below), whose sum is σ = 1852936278. Its totient is φ = 352340352.

The previous prime is 822128227. The next prime is 822128287. The reversal of 822128272 is 272821228.

It can be written as a sum of positive squares in only one way, i.e., 542703616 + 279424656 = 23296^2 + 16716^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 523533 + ... + 525100.

Almost surely, 2^822128272 is an apocalyptic number.

It is an amenable number.

822128272 is an abundant number, since it is smaller than the sum of its proper divisors (1030808006).

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

822128272 is a wasteful number, since it uses less digits than its factorization.

822128272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048655 (or 1048642 counting only the distinct ones).

The product of its digits is 14336, while the sum is 34.

The square root of 822128272 is about 28672.7792862848. The cubic root of 822128272 is about 936.7992357768.

The spelling of 822128272 in words is "eight hundred twenty-two million, one hundred twenty-eight thousand, two hundred seventy-two".