2984527728 has 480 divisors, whose sum is σ = 11032627200. Its totient is φ = 752094720.

The previous prime is 2984527727. The next prime is 2984527747. The reversal of 2984527728 is 8277254892.

2984527728 is a `hidden beast` number, since 2 + 98 + 4 + 527 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2984527727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37778793 + ... + 37778871.

It is an arithmetic number, because the mean of its divisors is an integer number (22984640).

Almost surely, 2^2984527728 is an apocalyptic number.

2984527728 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 2984527728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5516313600).

2984527728 is an abundant number, since it is smaller than the sum of its proper divisors (8048099472).

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

2984527728 is a wasteful number, since it uses less digits than its factorization.

2984527728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 135 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 2984527728 is about 54630.8312951579. The cubic root of 2984527728 is about 1439.7658647109.

The spelling of 2984527728 in words is "two billion, nine hundred eighty-four million, five hundred twenty-seven thousand, seven hundred twenty-eight".