4028796288 has 288 divisors, whose sum is σ = 13243000680. Its totient is φ = 1165824000.

The previous prime is 4028796287. The next prime is 4028796349. The reversal of 4028796288 is 8826978204.

4028796288 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 7 + 9 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4028796287) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 6703188 + ... + 6703788.

Almost surely, 2^4028796288 is an apocalyptic number.

4028796288 is a gapful number since it is divisible by the number (48) 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 4028796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621500340).

4028796288 is an abundant number, since it is smaller than the sum of its proper divisors (9214204392).

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

4028796288 is a wasteful number, since it uses less digits than its factorization.

4028796288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4028796288 is about 63472.7995916361. The cubic root of 4028796288 is about 1591.2012187687.

The spelling of 4028796288 in words is "four billion, twenty-eight million, seven hundred ninety-six thousand, two hundred eighty-eight".