2064027728 has 80 divisors (see below), whose sum is σ = 4840642560. Its totient is φ = 833424768.

The previous prime is 2064027727. The next prime is 2064027731. The reversal of 2064027728 is 8277204602.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2064027691 and 2064027700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064027727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166613 + ... + 178571.

It is an arithmetic number, because the mean of its divisors is an integer number (60508032).

Almost surely, 2^2064027728 is an apocalyptic number.

2064027728 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 2064027728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420321280).

2064027728 is an abundant number, since it is smaller than the sum of its proper divisors (2776614832).

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

2064027728 is a wasteful number, since it uses less digits than its factorization.

2064027728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12064 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 2064027728 is about 45431.5719296614. The cubic root of 2064027728 is about 1273.2250535802.

The spelling of 2064027728 in words is "two billion, sixty-four million, twenty-seven thousand, seven hundred twenty-eight".