82428096 has 56 divisors (see below), whose sum is σ = 221116144. Its totient is φ = 27095040.

The previous prime is 82428079. The next prime is 82428107. The reversal of 82428096 is 69082428.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11076 + ... + 16956.

Almost surely, 2^82428096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110558072).

82428096 is an abundant number, since it is smaller than the sum of its proper divisors (138688048).

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

82428096 is a wasteful number, since it uses less digits than its factorization.

82428096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969 (or 5959 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 82428096 is about 9078.9920145355. The cubic root of 82428096 is about 435.2028753775.

It can be divided in two parts, 824 and 28096, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 82428096 in words is "eighty-two million, four hundred twenty-eight thousand, ninety-six".