578338128 has 120 divisors (see below), whose sum is σ = 1730514240. Its totient is φ = 179857920.

The previous prime is 578338121. The next prime is 578338217. The reversal of 578338128 is 821833875.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578338121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133663 + ... + 137921.

It is an arithmetic number, because the mean of its divisors is an integer number (14420952).

Almost surely, 2^578338128 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 578338128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865257120).

578338128 is an abundant number, since it is smaller than the sum of its proper divisors (1152176112).

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

578338128 is a wasteful number, since it uses less digits than its factorization.

578338128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337 (or 4328 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 578338128 is about 24048.6616675440. The cubic root of 578338128 is about 833.1578200322.

The spelling of 578338128 in words is "five hundred seventy-eight million, three hundred thirty-eight thousand, one hundred twenty-eight".