2778793128 has 160 divisors (see below), whose sum is σ = 8223663360. Its totient is φ = 875266560.

The previous prime is 2778793109. The next prime is 2778793141. The reversal of 2778793128 is 8213978772.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 862176 + ... + 865392.

It is an arithmetic number, because the mean of its divisors is an integer number (51397896).

Almost surely, 2^2778793128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2778793128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111831680).

2778793128 is an abundant number, since it is smaller than the sum of its proper divisors (5444870232).

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

2778793128 is a wasteful number, since it uses less digits than its factorization.

2778793128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3296 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 2778793128 is about 52714.2592473801. The cubic root of 2778793128 is about 1405.8923638807.

The spelling of 2778793128 in words is "two billion, seven hundred seventy-eight million, seven hundred ninety-three thousand, one hundred twenty-eight".