2828814045360 has 160 divisors (see below), whose sum is σ = 8957202988032. Its totient is φ = 738193397760.

The previous prime is 2828814045347. The next prime is 2828814045367. The reversal of 2828814045360 is 635404188282.

It is not an unprimeable number, because it can be changed into a prime (2828814045367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104405415 + ... + 104432505.

Almost surely, 2^{2828814045360} is an apocalyptic number.

2828814045360 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 2828814045360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478601494016).

2828814045360 is an abundant number, since it is smaller than the sum of its proper divisors (6128388942672).

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

2828814045360 is a wasteful number, since it uses less digits than its factorization.

2828814045360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36411 (or 36405 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 2828814045360 in words is "two trillion, eight hundred twenty-eight billion, eight hundred fourteen million, forty-five thousand, three hundred sixty".