2949828499728 has 120 divisors (see below), whose sum is σ = 9012510501696. Its totient is φ = 893232864000.

The previous prime is 2949828499727. The next prime is 2949828499729. The reversal of 2949828499728 is 8279948289492.

2949828499728 is a `hidden beast` number, since 2 + 9 + 49 + 82 + 8 + 499 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2949828499727) and next prime (2949828499729).

It is not an unprimeable number, because it can be changed into a prime (2949828499727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1484178 + ... + 2846478.

Almost surely, 2^{2949828499728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2949828499728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506255250848).

2949828499728 is an abundant number, since it is smaller than the sum of its proper divisors (6062682001968).

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

2949828499728 is a wasteful number, since it uses less digits than its factorization.

2949828499728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363693 (or 1363684 counting only the distinct ones).

The product of its digits is 3009871872, while the sum is 81.

The spelling of 2949828499728 in words is "two trillion, nine hundred forty-nine billion, eight hundred twenty-eight million, four hundred ninety-nine thousand, seven hundred twenty-eight".