2928944498292 has 144 divisors (see below), whose sum is σ = 7872509495760. Its totient is φ = 916415410176.

The previous prime is 2928944498279. The next prime is 2928944498327.

2928944498292 is a `hidden beast` number, since 2 + 9 + 2 + 8 + 9 + 44 + 498 + 2 + 92 = 666.

2928944498292 is nontrivially palindromic in base 10.

2928944498292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 187423189776 + 2741521308516 = 432924^2 + 1655754^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2928944498292.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47752188 + ... + 47813484.

Almost surely, 2^{2928944498292} 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 2928944498292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936254747880).

2928944498292 is an abundant number, since it is smaller than the sum of its proper divisors (4943564997468).

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

2928944498292 is a wasteful number, since it uses less digits than its factorization.

2928944498292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62610 (or 62605 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 2928944498292 in words is "two trillion, nine hundred twenty-eight billion, nine hundred forty-four million, four hundred ninety-eight thousand, two hundred ninety-two".