823350528 has 864 divisors, whose sum is σ = 3523201920. Its totient is φ = 185794560.

The previous prime is 823350509. The next prime is 823350533. The reversal of 823350528 is 825053328.

823350528 is a `hidden beast` number, since 82 + 3 + 3 + 50 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 823350492 and 823350501.

It is a congruent number.

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, 48432376 + ... + 48432392.

It is an arithmetic number, because the mean of its divisors is an integer number (4077780).

Almost surely, 2^823350528 is an apocalyptic number.

823350528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823350528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761600960).

823350528 is an abundant number, since it is smaller than the sum of its proper divisors (2699851392).

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

823350528 is a wasteful number, since it uses less digits than its factorization.

823350528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 823350528 is about 28694.0852441753. The cubic root of 823350528 is about 937.2632515786.

The spelling of 823350528 in words is "eight hundred twenty-three million, three hundred fifty thousand, five hundred twenty-eight".