82290828252 has 48 divisors (see below), whose sum is σ = 208265474592. Its totient is φ = 25187051520.

The previous prime is 82290828223. The next prime is 82290828253. The reversal of 82290828252 is 25282809228.

It is a super-2 number, since 2×82290828252² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82290828253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4910983 + ... + 4927710.

It is an arithmetic number, because the mean of its divisors is an integer number (4338864054).

Almost surely, 2^82290828252 is an apocalyptic number.

82290828252 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

82290828252 is an abundant number, since it is smaller than the sum of its proper divisors (125974646340).

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

82290828252 is a wasteful number, since it uses less digits than its factorization.

82290828252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9838758 (or 9838756 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 82290828252 in words is "eighty-two billion, two hundred ninety million, eight hundred twenty-eight thousand, two hundred fifty-two".