2628352776348 has 360 divisors, whose sum is σ = 7989049141920. Its totient is φ = 750412615680.

The previous prime is 2628352776347. The next prime is 2628352776367. The reversal of 2628352776348 is 8436772538262.

2628352776348 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 3 + 527 + 7 + 63 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628352776347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66070608 + ... + 66110376.

It is an arithmetic number, because the mean of its divisors is an integer number (22191803172).

Almost surely, 2^{2628352776348} 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 2628352776348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994524570960).

2628352776348 is an abundant number, since it is smaller than the sum of its proper divisors (5360696365572).

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

2628352776348 is a wasteful number, since it uses less digits than its factorization.

2628352776348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39899 (or 39875 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 2628352776348 in words is "two trillion, six hundred twenty-eight billion, three hundred fifty-two million, seven hundred seventy-six thousand, three hundred forty-eight".