285728980 has 48 divisors (see below), whose sum is σ = 627137280. Its totient is φ = 109243008.

The previous prime is 285728957. The next prime is 285728987. The reversal of 285728980 is 89827582.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285728987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36886 + ... + 43954.

It is an arithmetic number, because the mean of its divisors is an integer number (13065360).

Almost surely, 2^285728980 is an apocalyptic number.

285728980 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 285728980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313568640).

285728980 is an abundant number, since it is smaller than the sum of its proper divisors (341408300).

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

285728980 is a wasteful number, since it uses less digits than its factorization.

285728980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7168 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The square root of 285728980 is about 16903.5197518150. The cubic root of 285728980 is about 658.6450469928.

The spelling of 285728980 in words is "two hundred eighty-five million, seven hundred twenty-eight thousand, nine hundred eighty".