2981398728 has 192 divisors, whose sum is σ = 9715809600. Its totient is φ = 753338880.

The previous prime is 2981398727. The next prime is 2981398733. The reversal of 2981398728 is 8278931892.

It is not an unprimeable number, because it can be changed into a prime (2981398727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475518 + ... + 481746.

It is an arithmetic number, because the mean of its divisors is an integer number (50603175).

Almost surely, 2^2981398728 is an apocalyptic number.

2981398728 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 2981398728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4857904800).

2981398728 is an abundant number, since it is smaller than the sum of its proper divisors (6734410872).

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

2981398728 is a wasteful number, since it uses less digits than its factorization.

2981398728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6289 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 57.

The square root of 2981398728 is about 54602.1861100817. The cubic root of 2981398728 is about 1439.2625351965.

The spelling of 2981398728 in words is "two billion, nine hundred eighty-one million, three hundred ninety-eight thousand, seven hundred twenty-eight".