82400428 has 24 divisors (see below), whose sum is σ = 166564944. Its totient is φ = 35251200.

The previous prime is 82400413. The next prime is 82400453.

82400428 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82400396 and 82400405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54333 + ... + 55828.

It is an arithmetic number, because the mean of its divisors is an integer number (6940206).

Almost surely, 2^82400428 is an apocalyptic number.

It is an amenable number.

82400428 is an abundant number, since it is smaller than the sum of its proper divisors (84164516).

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

82400428 is a wasteful number, since it uses less digits than its factorization.

82400428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110193 (or 110191 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 82400428 is about 9077.4681492143. The cubic root of 82400428 is about 435.1541762031.

It can be divided in two parts, 82400 and 428, that added together give a palindrome (82828).

The spelling of 82400428 in words is "eighty-two million, four hundred thousand, four hundred twenty-eight".