4263828800 has 336 divisors, whose sum is σ = 13347752832. Its totient is φ = 1301913600.

The previous prime is 4263828763. The next prime is 4263828823. The reversal of 4263828800 is 88283624.

4263828800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6529274 + ... + 6529926.

Almost surely, 2^4263828800 is an apocalyptic number.

4263828800 is a gapful number since it is divisible by the number (40) 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 4263828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673876416).

4263828800 is an abundant number, since it is smaller than the sum of its proper divisors (9083924032).

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

4263828800 is a wasteful number, since it uses less digits than its factorization.

4263828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 4263828800 is about 65297.9999693712. Note that the first 4 decimals coincide. The cubic root of 4263828800 is about 1621.5608591006.

The spelling of 4263828800 in words is "four billion, two hundred sixty-three million, eight hundred twenty-eight thousand, eight hundred".