823814628 has 192 divisors, whose sum is σ = 2528870400. Its totient is φ = 202549248.

The previous prime is 823814627. The next prime is 823814653. The reversal of 823814628 is 826418328.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 823814628.

It is not an unprimeable number, because it can be changed into a prime (823814623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3694125 + ... + 3694347.

It is an arithmetic number, because the mean of its divisors is an integer number (13171200).

Almost surely, 2^823814628 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 823814628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264435200).

823814628 is an abundant number, since it is smaller than the sum of its proper divisors (1705055772).

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

823814628 is a wasteful number, since it uses less digits than its factorization.

823814628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 464 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 823814628 is about 28702.1711373896. The cubic root of 823814628 is about 937.4393216550.

The spelling of 823814628 in words is "eight hundred twenty-three million, eight hundred fourteen thousand, six hundred twenty-eight".