823868928 has 160 divisors (see below), whose sum is σ = 2481225120. Its totient is φ = 269844480.

The previous prime is 823868923. The next prime is 823868933. The reversal of 823868928 is 829868328.

It is an interprime number because it is at equal distance from previous prime (823868923) and next prime (823868933).

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.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823868923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 842776 + ... + 843752.

It is an arithmetic number, because the mean of its divisors is an integer number (15507657).

Almost surely, 2^823868928 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 823868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240612560).

823868928 is an abundant number, since it is smaller than the sum of its proper divisors (1657356192).

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

823868928 is an equidigital number, since it uses as much as digits as its factorization.

823868928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1043 counting only the distinct ones).

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

The square root of 823868928 is about 28703.1170432760. The cubic root of 823868928 is about 937.4599176463.

The spelling of 823868928 in words is "eight hundred twenty-three million, eight hundred sixty-eight thousand, nine hundred twenty-eight".