285212928 has 432 divisors, whose sum is σ = 1056960576. Its totient is φ = 67092480.

The previous prime is 285212923. The next prime is 285212929. The reversal of 285212928 is 829212582.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (285212923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5381350 + ... + 5381402.

It is an arithmetic number, because the mean of its divisors is an integer number (2446668).

Almost surely, 2^285212928 is an apocalyptic number.

285212928 is a gapful number since it is divisible by the number (28) 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 285212928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528480288).

285212928 is an abundant number, since it is smaller than the sum of its proper divisors (771747648).

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

285212928 is a wasteful number, since it uses less digits than its factorization.

285212928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 285212928 is about 16888.2482217665. The cubic root of 285212928 is about 658.2482841510.

The spelling of 285212928 in words is "two hundred eighty-five million, two hundred twelve thousand, nine hundred twenty-eight".