82035653028 has 96 divisors (see below), whose sum is σ = 225900380160. Its totient is φ = 22674453120.

The previous prime is 82035653027. The next prime is 82035653041.

82035653028 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (82035653027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12180750 + ... + 12187482.

It is an arithmetic number, because the mean of its divisors is an integer number (2353128960).

Almost surely, 2^82035653028 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 82035653028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112950190080).

82035653028 is an abundant number, since it is smaller than the sum of its proper divisors (143864727132).

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

82035653028 is a wasteful number, since it uses less digits than its factorization.

82035653028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11457 (or 11455 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 82035653028 in words is "eighty-two billion, thirty-five million, six hundred fifty-three thousand, twenty-eight".