823142628 has 288 divisors, whose sum is σ = 2775951360. Its totient is φ = 204897600.

The previous prime is 823142611. The next prime is 823142647. The reversal of 823142628 is 826241328.

823142628 is a `hidden beast` number, since 8 + 23 + 1 + 4 + 2 + 628 = 666.

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 = 823142592 and 823142601.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7991625 + ... + 7991727.

It is an arithmetic number, because the mean of its divisors is an integer number (9638720).

Almost surely, 2^823142628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823142628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387975680).

823142628 is an abundant number, since it is smaller than the sum of its proper divisors (1952808732).

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

823142628 is a wasteful number, since it uses less digits than its factorization.

823142628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 157 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 823142628 is about 28690.4623176414. The cubic root of 823142628 is about 937.1843570995.

The spelling of 823142628 in words is "eight hundred twenty-three million, one hundred forty-two thousand, six hundred twenty-eight".