822136128 has 56 divisors (see below), whose sum is σ = 2372989920. Its totient is φ = 249131520.

The previous prime is 822136121. The next prime is 822136153. The reversal of 822136128 is 821631228.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (822136121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192523 + ... + 196746.

It is an arithmetic number, because the mean of its divisors is an integer number (42374820).

Almost surely, 2^822136128 is an apocalyptic number.

822136128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

822136128 is an abundant number, since it is smaller than the sum of its proper divisors (1550853792).

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

822136128 is a wasteful number, since it uses less digits than its factorization.

822136128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389295 (or 389285 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 822136128 is about 28672.9162800019. The cubic root of 822136128 is about 936.8022196872.

The spelling of 822136128 in words is "eight hundred twenty-two million, one hundred thirty-six thousand, one hundred twenty-eight".