972828828279 has 24 divisors (see below), whose sum is σ = 1751934168192. Its totient is φ = 505365624720.

The previous prime is 972828828241. The next prime is 972828828287.

972828828279 is a `hidden beast` number, since 9 + 72 + 8 + 288 + 2 + 8 + 279 = 666.

972828828279 is nontrivially palindromic in base 10.

972828828279 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 972828828279 - 2¹² = 972828824183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972828828289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 701896009 + ... + 701897394.

It is an arithmetic number, because the mean of its divisors is an integer number (72997257008).

Almost surely, 2^972828828279 is an apocalyptic number.

972828828279 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

972828828279 is a deficient number, since it is larger than the sum of its proper divisors (779105339913).

972828828279 is a wasteful number, since it uses less digits than its factorization.

972828828279 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403793427 (or 1403793424 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 72.

The spelling of 972828828279 in words is "nine hundred seventy-two billion, eight hundred twenty-eight million, eight hundred twenty-eight thousand, two hundred seventy-nine".