82778487728 has 20 divisors (see below), whose sum is σ = 168824547960. Its totient is φ = 39210862464.

The previous prime is 82778487721. The next prime is 82778487791.

82778487728 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×82778487728³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82778487721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136148525 + ... + 136149132.

It is an arithmetic number, because the mean of its divisors is an integer number (8441227398).

Almost surely, 2^82778487728 is an apocalyptic number.

It is an amenable number.

82778487728 is an abundant number, since it is smaller than the sum of its proper divisors (86046060232).

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

82778487728 is a wasteful number, since it uses less digits than its factorization.

82778487728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272297684 (or 272297678 counting only the distinct ones).

The product of its digits is 157351936, while the sum is 68.

The spelling of 82778487728 in words is "eighty-two billion, seven hundred seventy-eight million, four hundred eighty-seven thousand, seven hundred twenty-eight".