82778517288 has 48 divisors (see below), whose sum is σ = 230251063380. Its totient is φ = 26847085824.

The previous prime is 82778517277. The next prime is 82778517293. The reversal of 82778517288 is 88271587728.

82778517288 is a `hidden beast` number, since 8 + 27 + 78 + 517 + 28 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59466724164 + 23311793124 = 243858^2 + 152682^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15533845 + ... + 15539172.

Almost surely, 2^82778517288 is an apocalyptic number.

It is an amenable number.

82778517288 is an abundant number, since it is smaller than the sum of its proper divisors (147472546092).

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

82778517288 is a wasteful number, since it uses less digits than its factorization.

82778517288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31073066 (or 31073059 counting only the distinct ones).

The product of its digits is 28098560, while the sum is 63.

The spelling of 82778517288 in words is "eighty-two billion, seven hundred seventy-eight million, five hundred seventeen thousand, two hundred eighty-eight".