873758928 has 320 divisors, whose sum is σ = 2939811840. Its totient is φ = 217645056.

The previous prime is 873758903. The next prime is 873758987. The reversal of 873758928 is 829857378.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9007776 + ... + 9007872.

It is an arithmetic number, because the mean of its divisors is an integer number (9186912).

Almost surely, 2^873758928 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 873758928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469905920).

873758928 is an abundant number, since it is smaller than the sum of its proper divisors (2066052912).

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

873758928 is a wasteful number, since it uses less digits than its factorization.

873758928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 57.

The square root of 873758928 is about 29559.4135259819. The cubic root of 873758928 is about 956.0131706897.

The spelling of 873758928 in words is "eight hundred seventy-three million, seven hundred fifty-eight thousand, nine hundred twenty-eight".