82777728 has 64 divisors (see below), whose sum is σ = 239879520. Its totient is φ = 25082880.

The previous prime is 82777727. The next prime is 82777733.

82777728 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82777727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5575 + ... + 14022.

Almost surely, 2^82777728 is an apocalyptic number.

82777728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82777728 is an abundant number, since it is smaller than the sum of its proper divisors (157101792).

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

82777728 is a wasteful number, since it uses less digits than its factorization.

82777728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19625 (or 19613 counting only the distinct ones).

The product of its digits is 614656, while the sum is 48.

The square root of 82777728 is about 9098.2266403954. The cubic root of 82777728 is about 435.8173350355.

The spelling of 82777728 in words is "eighty-two million, seven hundred seventy-seven thousand, seven hundred twenty-eight".