578328960 has 256 divisors, whose sum is σ = 2035756800. Its totient is φ = 138485760.

The previous prime is 578328931. The next prime is 578328979. The reversal of 578328960 is 69823875.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2935582 + ... + 2935778.

It is an arithmetic number, because the mean of its divisors is an integer number (7952175).

Almost surely, 2^578328960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017878400).

578328960 is an abundant number, since it is smaller than the sum of its proper divisors (1457427840).

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

578328960 is a wasteful number, since it uses less digits than its factorization.

578328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 578328960 is about 24048.4710532707. The cubic root of 578328960 is about 833.1534175147.

It can be divided in two parts, 5783 and 28960, that added together give a palindrome (34743).

The spelling of 578328960 in words is "five hundred seventy-eight million, three hundred twenty-eight thousand, nine hundred sixty".