255828000 has 96 divisors (see below), whose sum is σ = 838131840. Its totient is φ = 68217600.

The previous prime is 255827983. The next prime is 255828017. The reversal of 255828000 is 828552.

It is an interprime number because it is at equal distance from previous prime (255827983) and next prime (255828017).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1341 + ... + 22659.

It is an arithmetic number, because the mean of its divisors is an integer number (8730540).

Almost surely, 2^255828000 is an apocalyptic number.

255828000 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 255828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419065920).

255828000 is an abundant number, since it is smaller than the sum of its proper divisors (582303840).

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

255828000 is a wasteful number, since it uses less digits than its factorization.

255828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21347 (or 21329 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 255828000 is about 15994.6240968645. The cubic root of 255828000 is about 634.8181842499.

The spelling of 255828000 in words is "two hundred fifty-five million, eight hundred twenty-eight thousand".