4288778824 has 64 divisors (see below), whose sum is σ = 9127526400. Its totient is φ = 1871553600.

The previous prime is 4288778807. The next prime is 4288778839.

4288778824 is nontrivially palindromic in base 10.

4288778824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 340267 + ... + 352645.

It is an arithmetic number, because the mean of its divisors is an integer number (142617600).

Almost surely, 2^4288778824 is an apocalyptic number.

4288778824 is a gapful number since it is divisible by the number (44) 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 4288778824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563763200).

4288778824 is an abundant number, since it is smaller than the sum of its proper divisors (4838747576).

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

4288778824 is a wasteful number, since it uses less digits than its factorization.

4288778824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12554 (or 12550 counting only the distinct ones).

The product of its digits is 12845056, while the sum is 58.

The square root of 4288778824 is about 65488.7686859358. The cubic root of 4288778824 is about 1624.7175934011.

The spelling of 4288778824 in words is "four billion, two hundred eighty-eight million, seven hundred seventy-eight thousand, eight hundred twenty-four".