580828000 has 48 divisors (see below), whose sum is σ = 1427104224. Its totient is φ = 232329600.

The previous prime is 580827991. The next prime is 580828057. The reversal of 580828000 is 828085.

580828000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×580828000² = 674722331168000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68604 + ... + 76603.

It is an arithmetic number, because the mean of its divisors is an integer number (29731338).

Almost surely, 2^580828000 is an apocalyptic number.

580828000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

580828000 is an abundant number, since it is smaller than the sum of its proper divisors (846276224).

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

580828000 is a wasteful number, since it uses less digits than its factorization.

580828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145232 (or 145214 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 580828000 is about 24100.3734410901. The cubic root of 580828000 is about 834.3517504405.

The spelling of 580828000 in words is "five hundred eighty million, eight hundred twenty-eight thousand".