8728978041 has 45 divisors (see below), whose sum is σ = 15178731381. Its totient is φ = 4984624008.

The previous prime is 8728978007. The next prime is 8728978051. The reversal of 8728978041 is 1408798278.

It is a happy number.

The square root of 8728978041 is 93429.

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

It is not a de Polignac number, because 8728978041 - 2¹⁷ = 8728846969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8728978051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5885286 + ... + 5886768.

Almost surely, 2^8728978041 is an apocalyptic number.

8728978041 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

8728978041 is the 93429-th square number.

8728978041 is the 46715-th centered octagonal number.

It is an amenable number.

8728978041 is a deficient number, since it is larger than the sum of its proper divisors (6449753340).

8728978041 is an frugal number, since it uses more digits than its factorization.

8728978041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The cubic root of 8728978041 is about 2058.9910886505.

The spelling of 8728978041 in words is "eight billion, seven hundred twenty-eight million, nine hundred seventy-eight thousand, forty-one".