2726028648 has 256 divisors, whose sum is σ = 9406464000. Its totient is φ = 713836800.

The previous prime is 2726028647. The next prime is 2726028671. The reversal of 2726028648 is 8468206272.

2726028648 is a `hidden beast` number, since 272 + 60 + 286 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (2726028647) 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 63 ways as a sum of consecutive naturals, for example, 889038 + ... + 892098.

It is an arithmetic number, because the mean of its divisors is an integer number (36744000).

Almost surely, 2^2726028648 is an apocalyptic number.

2726028648 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 2726028648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703232000).

2726028648 is an abundant number, since it is smaller than the sum of its proper divisors (6680435352).

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

2726028648 is a wasteful number, since it uses less digits than its factorization.

2726028648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2726028648 is about 52211.3842758454. The cubic root of 2726028648 is about 1396.9369508852.

The spelling of 2726028648 in words is "two billion, seven hundred twenty-six million, twenty-eight thousand, six hundred forty-eight".