82858048 has 112 divisors (see below), whose sum is σ = 207897984. Its totient is φ = 31887360.

The previous prime is 82858043. The next prime is 82858049. The reversal of 82858048 is 84085828.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×82858048² = 13730912236740608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82857995 and 82858013.

It is not an unprimeable number, because it can be changed into a prime (82858043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238611 + ... + 238957.

It is an arithmetic number, because the mean of its divisors is an integer number (1856232).

Almost surely, 2^82858048 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 82858048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103948992).

82858048 is an abundant number, since it is smaller than the sum of its proper divisors (125039936).

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

82858048 is a wasteful number, since it uses less digits than its factorization.

82858048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 43.

The square root of 82858048 is about 9102.6396171660. The cubic root of 82858048 is about 435.9582486744.

The spelling of 82858048 in words is "eighty-two million, eight hundred fifty-eight thousand, forty-eight".