2828883628224 has 224 divisors, whose sum is σ = 8522176178880. Its totient is φ = 919644364800.

The previous prime is 2828883628223. The next prime is 2828883628237. The reversal of 2828883628224 is 4228263888282.

2828883628224 is a `hidden beast` number, since 28 + 28 + 8 + 8 + 362 + 8 + 224 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2828883628223) 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, 292809954 + ... + 292819614.

It is an arithmetic number, because the mean of its divisors is an integer number (38045429370).

Almost surely, 2^{2828883628224} is an apocalyptic number.

2828883628224 is a gapful number since it is divisible by the number (24) 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 2828883628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261088089440).

2828883628224 is an abundant number, since it is smaller than the sum of its proper divisors (5693292550656).

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

2828883628224 is a wasteful number, since it uses less digits than its factorization.

2828883628224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13856 (or 13840 counting only the distinct ones).

The product of its digits is 75497472, while the sum is 63.

The spelling of 2828883628224 in words is "two trillion, eight hundred twenty-eight billion, eight hundred eighty-three million, six hundred twenty-eight thousand, two hundred twenty-four".