2628715648 has 64 divisors (see below), whose sum is σ = 5667217920. Its totient is φ = 1207342080.

The previous prime is 2628715637. The next prime is 2628715667. The reversal of 2628715648 is 8465178262.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2628715648³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347361 + ... + 354847.

It is an arithmetic number, because the mean of its divisors is an integer number (88550280).

Almost surely, 2^2628715648 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 2628715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833608960).

2628715648 is an abundant number, since it is smaller than the sum of its proper divisors (3038502272).

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

2628715648 is a wasteful number, since it uses less digits than its factorization.

2628715648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7725 (or 7713 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 49.

The square root of 2628715648 is about 51271.0020186850. The cubic root of 2628715648 is about 1380.1126506093.

The spelling of 2628715648 in words is "two billion, six hundred twenty-eight million, seven hundred fifteen thousand, six hundred forty-eight".