2984338728 has 320 divisors, whose sum is σ = 10105920000. Its totient is φ = 821487744.

The previous prime is 2984338703. The next prime is 2984338751. The reversal of 2984338728 is 8278334892.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4644864) is a multiple of the sum of its prime divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6445425 + ... + 6445887.

It is an arithmetic number, because the mean of its divisors is an integer number (31581000).

Almost surely, 2^2984338728 is an apocalyptic number.

2984338728 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 2984338728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052960000).

2984338728 is an abundant number, since it is smaller than the sum of its proper divisors (7121581272).

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

2984338728 is a wasteful number, since it uses less digits than its factorization.

2984338728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 504 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 2984338728 is about 54629.1014753126. The cubic root of 2984338728 is about 1439.7354722426.

The spelling of 2984338728 in words is "two billion, nine hundred eighty-four million, three hundred thirty-eight thousand, seven hundred twenty-eight".