285828480 has 512 divisors, whose sum is σ = 1233792000. Its totient is φ = 61046784.

The previous prime is 285828469. The next prime is 285828547. The reversal of 285828480 is 84828582.

285828480 is a `hidden beast` number, since 28 + 582 + 8 + 48 + 0 = 666.

It is a super-2 number, since 2×285828480² = 163395839958220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056251 + ... + 2056389.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^285828480 is an apocalyptic number.

285828480 is a gapful number since it is divisible by the number (20) 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 285828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896000).

285828480 is an abundant number, since it is smaller than the sum of its proper divisors (947963520).

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

285828480 is a wasteful number, since it uses less digits than its factorization.

285828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 285828480 is about 16906.4626696420. The cubic root of 285828480 is about 658.7214919005.

The spelling of 285828480 in words is "two hundred eighty-five million, eight hundred twenty-eight thousand, four hundred eighty".