2828944932864 has 144 divisors (see below), whose sum is σ = 7686217308672. Its totient is φ = 925182722048.

The previous prime is 2828944932851. The next prime is 2828944932889. The reversal of 2828944932864 is 4682394498282.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20772577 + ... + 20908319.

It is an arithmetic number, because the mean of its divisors is an integer number (53376509088).

Almost surely, 2^{2828944932864} is an apocalyptic number.

2828944932864 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 2828944932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843108654336).

2828944932864 is an abundant number, since it is smaller than the sum of its proper divisors (4857272375808).

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

2828944932864 is an frugal number, since it uses more digits than its factorization.

2828944932864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135833 (or 135801 counting only the distinct ones).

The product of its digits is 382205952, while the sum is 69.

The spelling of 2828944932864 in words is "two trillion, eight hundred twenty-eight billion, nine hundred forty-four million, nine hundred thirty-two thousand, eight hundred sixty-four".