578288256 has 384 divisors, whose sum is σ = 2030860800. Its totient is φ = 142331904.

The previous prime is 578288219. The next prime is 578288299. The reversal of 578288256 is 652882875.

578288256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 578288199 and 578288208.

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, 8631135 + ... + 8631201.

It is an arithmetic number, because the mean of its divisors is an integer number (5288700).

Almost surely, 2^578288256 is an apocalyptic number.

578288256 is a gapful number since it is divisible by the number (56) 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 578288256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015430400).

578288256 is an abundant number, since it is smaller than the sum of its proper divisors (1452572544).

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

578288256 is a wasteful number, since it uses less digits than its factorization.

578288256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 51.

The square root of 578288256 is about 24047.6247475712. The cubic root of 578288256 is about 833.1338706970.

The spelling of 578288256 in words is "five hundred seventy-eight million, two hundred eighty-eight thousand, two hundred fifty-six".