2728437784848 has 120 divisors (see below), whose sum is σ = 7971344384640. Its totient is φ = 869552893440.

The previous prime is 2728437784837. The next prime is 2728437784907. The reversal of 2728437784848 is 8484877348272.

2728437784848 is a `hidden beast` number, since 2 + 72 + 8 + 4 + 3 + 7 + 78 + 484 + 8 = 666.

It is a super-2 number, since 2×2728437784848² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7374093 + ... + 7735251.

It is an arithmetic number, because the mean of its divisors is an integer number (66427869872).

Almost surely, 2^{2728437784848} 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 2728437784848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985672192320).

2728437784848 is an abundant number, since it is smaller than the sum of its proper divisors (5242906599792).

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

2728437784848 is a wasteful number, since it uses less digits than its factorization.

2728437784848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363477 (or 363468 counting only the distinct ones).

The product of its digits is 1078984704, while the sum is 72.

The spelling of 2728437784848 in words is "two trillion, seven hundred twenty-eight billion, four hundred thirty-seven million, seven hundred eighty-four thousand, eight hundred forty-eight".