482545728 has 336 divisors, whose sum is σ = 1702612800. Its totient is φ = 133539840.

The previous prime is 482545691. The next prime is 482545729. The reversal of 482545728 is 827545284.

482545728 is a `hidden beast` number, since 4 + 82 + 545 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×482545728² = 465700759222099968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (482545729) 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, 3471483 + ... + 3471621.

It is an arithmetic number, because the mean of its divisors is an integer number (5067300).

Almost surely, 2^482545728 is an apocalyptic number.

482545728 is a gapful number since it is divisible by the number (48) 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 482545728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851306400).

482545728 is an abundant number, since it is smaller than the sum of its proper divisors (1220067072).

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

482545728 is a wasteful number, since it uses less digits than its factorization.

482545728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 192 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 482545728 is about 21966.9234987515. The cubic root of 482545728 is about 784.3552811517.

The spelling of 482545728 in words is "four hundred eighty-two million, five hundred forty-five thousand, seven hundred twenty-eight".