578492928 has 400 divisors, whose sum is σ = 1975576680. Its totient is φ = 167215104.

The previous prime is 578492927. The next prime is 578492939. The reversal of 578492928 is 829294875.

578492928 is a `hidden beast` number, since 578 + 49 + 2 + 9 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 511121664 + 67371264 = 22608^2 + 8208^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2903040) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578492921) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 15634926 + ... + 15634962.

Almost surely, 2^578492928 is an apocalyptic number.

578492928 is a gapful number since it is divisible by the number (58) 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 578492928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987788340).

578492928 is an abundant number, since it is smaller than the sum of its proper divisors (1397083752).

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

578492928 is a wasteful number, since it uses less digits than its factorization.

578492928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 578492928 is about 24051.8799265255. The cubic root of 578492928 is about 833.2321487101.

The spelling of 578492928 in words is "five hundred seventy-eight million, four hundred ninety-two thousand, nine hundred twenty-eight".