873628000 has 192 divisors, whose sum is σ = 2516282496. Its totient is φ = 291840000.

The previous prime is 873627967. The next prime is 873628001. The reversal of 873628000 is 826378.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873628001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1147620 + ... + 1148380.

It is an arithmetic number, because the mean of its divisors is an integer number (13105638).

Almost surely, 2^873628000 is an apocalyptic number.

873628000 is a gapful number since it is divisible by the number (80) 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 873628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258141248).

873628000 is an abundant number, since it is smaller than the sum of its proper divisors (1642654496).

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

873628000 is a wasteful number, since it uses less digits than its factorization.

873628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 873628000 is about 29557.1987847292. The cubic root of 873628000 is about 955.9654171882.

The spelling of 873628000 in words is "eight hundred seventy-three million, six hundred twenty-eight thousand".