2772651728 has 80 divisors (see below), whose sum is σ = 6722248320. Its totient is φ = 1076275200.

The previous prime is 2772651719. The next prime is 2772651751. The reversal of 2772651728 is 8271562772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342188 + ... + 350196.

It is an arithmetic number, because the mean of its divisors is an integer number (84028104).

Almost surely, 2^2772651728 is an apocalyptic number.

2772651728 is a gapful number since it is divisible by the number (28) 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 2772651728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361124160).

2772651728 is an abundant number, since it is smaller than the sum of its proper divisors (3949596592).

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

2772651728 is a wasteful number, since it uses less digits than its factorization.

2772651728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8316 (or 8310 counting only the distinct ones).

The product of its digits is 658560, while the sum is 47.

The square root of 2772651728 is about 52655.9752354849. The cubic root of 2772651728 is about 1404.8558808283.

It can be divided in two parts, 2772 and 651728, that multiplied together give a square (1806590016 = 42504²).

The spelling of 2772651728 in words is "two billion, seven hundred seventy-two million, six hundred fifty-one thousand, seven hundred twenty-eight".