4288904928 has 288 divisors, whose sum is σ = 15520377600. Its totient is φ = 1113719040.

The previous prime is 4288904923. The next prime is 4288904929. The reversal of 4288904928 is 8294098824.

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 (4288904923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084651 + ... + 1088597.

It is an arithmetic number, because the mean of its divisors is an integer number (53890200).

Almost surely, 2^4288904928 is an apocalyptic number.

4288904928 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 4288904928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760188800).

4288904928 is an abundant number, since it is smaller than the sum of its proper divisors (11231472672).

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

4288904928 is a wasteful number, since it uses less digits than its factorization.

4288904928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 4288904928 is about 65489.7314699030. The cubic root of 4288904928 is about 1624.7335172330.

The spelling of 4288904928 in words is "four billion, two hundred eighty-eight million, nine hundred four thousand, nine hundred twenty-eight".