82077028 has 24 divisors (see below), whose sum is σ = 156933504. Its totient is φ = 37250400.

The previous prime is 82077013. The next prime is 82077029.

82077028 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82076984 and 82077002.

It is not an unprimeable number, because it can be changed into a prime (82077029) 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, 42933 + ... + 44803.

It is an arithmetic number, because the mean of its divisors is an integer number (6538896).

Almost surely, 2^82077028 is an apocalyptic number.

It is an amenable number.

82077028 is a deficient number, since it is larger than the sum of its proper divisors (74856476).

82077028 is a wasteful number, since it uses less digits than its factorization.

82077028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 82077028 is about 9059.6372995832. The cubic root of 82077028 is about 434.5841412554.

The spelling of 82077028 in words is "eighty-two million, seventy-seven thousand, twenty-eight".