2828367181080 has 512 divisors, whose sum is σ = 10939210444800. Its totient is φ = 636636672000.

The previous prime is 2828367181049. The next prime is 2828367181097. The reversal of 2828367181080 is 801817638282.

2828367181080 is a `hidden beast` number, since 2 + 8 + 28 + 367 + 181 + 0 + 80 = 666.

It is a super-2 number, since 2×2828367181080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 554470530 + ... + 554475630.

It is an arithmetic number, because the mean of its divisors is an integer number (21365645400).

Almost surely, 2^{2828367181080} is an apocalyptic number.

2828367181080 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 2828367181080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469605222400).

2828367181080 is an abundant number, since it is smaller than the sum of its proper divisors (8110843263720).

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

2828367181080 is a wasteful number, since it uses less digits than its factorization.

2828367181080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 2828367181080 in words is "two trillion, eight hundred twenty-eight billion, three hundred sixty-seven million, one hundred eighty-one thousand, eighty".