285428160 has 336 divisors, whose sum is σ = 1065093120. Its totient is φ = 69949440.

The previous prime is 285428153. The next prime is 285428167. The reversal of 285428160 is 61824582.

It is an interprime number because it is at equal distance from previous prime (285428153) and next prime (285428167).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285428167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053371 + ... + 2053509.

It is an arithmetic number, because the mean of its divisors is an integer number (3169920).

Almost surely, 2^285428160 is an apocalyptic number.

285428160 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 285428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532546560).

285428160 is an abundant number, since it is smaller than the sum of its proper divisors (779664960).

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

285428160 is a wasteful number, since it uses less digits than its factorization.

285428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 285428160 is about 16894.6192617650. The cubic root of 285428160 is about 658.4138218455.

The spelling of 285428160 in words is "two hundred eighty-five million, four hundred twenty-eight thousand, one hundred sixty".