2628715441 has 27 divisors (see below), whose sum is σ = 2976893913. Its totient is φ = 2319500040.

The previous prime is 2628715429. The next prime is 2628715483. The reversal of 2628715441 is 1445178262.

The square root of 2628715441 is 51271.

It is a perfect power (a square), and thus also a powerful number.

2628715441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2628715441 - 2²¹ = 2626618289 is a prime.

It is a super-3 number, since 3×2628715441³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2628715394 and 2628715403.

It is not an unprimeable number, because it can be changed into a prime (2628715421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33274840 + ... + 33274918.

Almost surely, 2^2628715441 is an apocalyptic number.

2628715441 is the 51271-st square number.

2628715441 is the 25636-th centered octagonal number.

It is an amenable number.

2628715441 is a deficient number, since it is larger than the sum of its proper divisors (348178472).

2628715441 is an frugal number, since it uses more digits than its factorization.

2628715441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The cubic root of 2628715441 is about 1380.1126143834.

The spelling of 2628715441 in words is "two billion, six hundred twenty-eight million, seven hundred fifteen thousand, four hundred forty-one".