7728267541 has 16 divisors (see below), whose sum is σ = 8271849600. Its totient is φ = 7195004928.

The previous prime is 7728267539. The next prime is 7728267551. The reversal of 7728267541 is 1457628277.

It is not a de Polignac number, because 7728267541 - 2¹ = 7728267539 is a prime.

It is a super-2 number, since 2×7728267541² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7728267551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580720 + ... + 593878.

It is an arithmetic number, because the mean of its divisors is an integer number (516990600).

Almost surely, 2^7728267541 is an apocalyptic number.

It is an amenable number.

7728267541 is a deficient number, since it is larger than the sum of its proper divisors (543582059).

7728267541 is a wasteful number, since it uses less digits than its factorization.

7728267541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13548.

The product of its digits is 1317120, while the sum is 49.

The square root of 7728267541 is about 87910.5655823007. The cubic root of 7728267541 is about 1977.0942942357.

The spelling of 7728267541 in words is "seven billion, seven hundred twenty-eight million, two hundred sixty-seven thousand, five hundred forty-one".