484129728 has 168 divisors, whose sum is σ = 1508881920. Its totient is φ = 147847680.

The previous prime is 484129721. The next prime is 484129729. The reversal of 484129728 is 827921484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484129721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338551 + ... + 339977.

It is an arithmetic number, because the mean of its divisors is an integer number (8981440).

Almost surely, 2^484129728 is an apocalyptic number.

484129728 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 484129728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754440960).

484129728 is an abundant number, since it is smaller than the sum of its proper divisors (1024752192).

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

484129728 is a wasteful number, since it uses less digits than its factorization.

484129728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1482 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 484129728 is about 22002.9481660981. The cubic root of 484129728 is about 785.2125828307.

The spelling of 484129728 in words is "four hundred eighty-four million, one hundred twenty-nine thousand, seven hundred twenty-eight".