2828168280000 has 1260 divisors, whose sum is σ = 12478122934992. Its totient is φ = 608348160000.

The previous prime is 2828168279971. The next prime is 2828168280001. The reversal of 2828168280000 is 828618282.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828168280001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 299875285 + ... + 299884715.

Almost surely, 2^{2828168280000} is an apocalyptic number.

2828168280000 is a gapful number since it is divisible by the number (20) 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 2828168280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239061467496).

2828168280000 is an abundant number, since it is smaller than the sum of its proper divisors (9649954654992).

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

2828168280000 is a wasteful number, since it uses less digits than its factorization.

2828168280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500 (or 9465 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 2828168280000 in words is "two trillion, eight hundred twenty-eight billion, one hundred sixty-eight million, two hundred eighty thousand".