882200728000 has 224 divisors, whose sum is σ = 2307722047488. Its totient is φ = 333551232000.

The previous prime is 882200727983. The next prime is 882200728001. The reversal of 882200728000 is 827002288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882200728001) 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, 10622637 + ... + 10705363.

Almost surely, 2^882200728000 is an apocalyptic number.

882200728000 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 882200728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153861023744).

882200728000 is an abundant number, since it is smaller than the sum of its proper divisors (1425521319488).

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

882200728000 is a wasteful number, since it uses less digits than its factorization.

882200728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82828 (or 82808 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The spelling of 882200728000 in words is "eight hundred eighty-two billion, two hundred million, seven hundred twenty-eight thousand".