873828000 has 576 divisors, whose sum is σ = 3434296320. Its totient is φ = 217728000.

The previous prime is 873827987. The next prime is 873828023. The reversal of 873828000 is 828378.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28187985 + ... + 28188015.

It is an arithmetic number, because the mean of its divisors is an integer number (5962320).

Almost surely, 2^873828000 is an apocalyptic number.

873828000 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 873828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717148160).

873828000 is an abundant number, since it is smaller than the sum of its proper divisors (2560468320).

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

873828000 is a wasteful number, since it uses less digits than its factorization.

873828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 873828000 is about 29560.5818616617. The cubic root of 873828000 is about 956.0383614678.

The spelling of 873828000 in words is "eight hundred seventy-three million, eight hundred twenty-eight thousand".