821383128 has 48 divisors (see below), whose sum is σ = 2284710480. Its totient is φ = 266393664.

The previous prime is 821383127. The next prime is 821383133.

821383128 is nontrivially palindromic in base 10.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 821383092 and 821383101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821383127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151500 + ... + 156827.

It is an arithmetic number, because the mean of its divisors is an integer number (47598135).

Almost surely, 2^821383128 is an apocalyptic number.

It is an amenable number.

821383128 is an abundant number, since it is smaller than the sum of its proper divisors (1463327352).

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

821383128 is a wasteful number, since it uses less digits than its factorization.

821383128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308376 (or 308369 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 821383128 is about 28659.7824136890. The cubic root of 821383128 is about 936.5161245095.

The spelling of 821383128 in words is "eight hundred twenty-one million, three hundred eighty-three thousand, one hundred twenty-eight".