823968288 has 504 divisors, whose sum is σ = 3024287280. Its totient is φ = 218350080.

The previous prime is 823968283. The next prime is 823968289. The reversal of 823968288 is 882869328.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (2654208) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (823968283) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 43366743 + ... + 43366761.

It is an arithmetic number, because the mean of its divisors is an integer number (6000570).

Almost surely, 2^823968288 is an apocalyptic number.

823968288 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 823968288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512143640).

823968288 is an abundant number, since it is smaller than the sum of its proper divisors (2200318992).

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

823968288 is a wasteful number, since it uses less digits than its factorization.

823968288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 823968288 is about 28704.8478135663. The cubic root of 823968288 is about 937.4976025539.

It can be divided in two parts, 8239682 and 88, that added together give a triangular number (8239770 = T₄₀₅₉).

The spelling of 823968288 in words is "eight hundred twenty-three million, nine hundred sixty-eight thousand, two hundred eighty-eight".