873299328 has 256 divisors, whose sum is σ = 2696716800. Its totient is φ = 247808000.

The previous prime is 873299327. The next prime is 873299393. The reversal of 873299328 is 823992378.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873299327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8646478 + ... + 8646578.

It is an arithmetic number, because the mean of its divisors is an integer number (10534050).

Almost surely, 2^873299328 is an apocalyptic number.

873299328 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 873299328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348358400).

873299328 is an abundant number, since it is smaller than the sum of its proper divisors (1823417472).

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

873299328 is a wasteful number, since it uses less digits than its factorization.

873299328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 873299328 is about 29551.6383302178. The cubic root of 873299328 is about 955.8455192927.

The spelling of 873299328 in words is "eight hundred seventy-three million, two hundred ninety-nine thousand, three hundred twenty-eight".