2978296867728 has 240 divisors, whose sum is σ = 10291367282560. Its totient is φ = 782974273536.

The previous prime is 2978296867709. The next prime is 2978296867747. The reversal of 2978296867728 is 8277686928792.

2978296867728 is a `hidden beast` number, since 297 + 82 + 96 + 86 + 77 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (2978296867709) and next prime (2978296867747).

It is a super-3 number, since 3×2978296867728³ (a number of 38 digits) contains 333 as substring.

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

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, 3738483 + ... + 4464621.

Almost surely, 2^{2978296867728} is an apocalyptic number.

2978296867728 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 2978296867728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145683641280).

2978296867728 is an abundant number, since it is smaller than the sum of its proper divisors (7313070414832).

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

2978296867728 is a wasteful number, since it uses less digits than its factorization.

2978296867728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726486 (or 726477 counting only the distinct ones).

The product of its digits is 4096770048, while the sum is 81.

The spelling of 2978296867728 in words is "two trillion, nine hundred seventy-eight billion, two hundred ninety-six million, eight hundred sixty-seven thousand, seven hundred twenty-eight".