285418728 has 240 divisors, whose sum is σ = 949716900. Its totient is φ = 79833600.

The previous prime is 285418723. The next prime is 285418747. The reversal of 285418728 is 827814582.

It is a happy number.

285418728 is a `hidden beast` number, since 2 + 8 + 541 + 87 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 280830564 + 4588164 = 16758^2 + 2142^2 .

It is not an unprimeable number, because it can be changed into a prime (285418723) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2825878 + ... + 2825978.

Almost surely, 2^285418728 is an apocalyptic number.

285418728 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 285418728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474858450).

285418728 is an abundant number, since it is smaller than the sum of its proper divisors (664298172).

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

285418728 is a wasteful number, since it uses less digits than its factorization.

285418728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 285418728 is about 16894.3401173292. The cubic root of 285418728 is about 658.4065693170.

It can be divided in two parts, 285418 and 728, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 285418728 in words is "two hundred eighty-five million, four hundred eighteen thousand, seven hundred twenty-eight".