82429844 has 48 divisors (see below), whose sum is σ = 171884160. Its totient is φ = 33853440.

The previous prime is 82429817. The next prime is 82429877. The reversal of 82429844 is 44892428.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67124 + ... + 68340.

It is an arithmetic number, because the mean of its divisors is an integer number (3580920).

Almost surely, 2^82429844 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 82429844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85942080).

82429844 is an abundant number, since it is smaller than the sum of its proper divisors (89454316).

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

82429844 is a wasteful number, since it uses less digits than its factorization.

82429844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1326 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 82429844 is about 9079.0882802184. The cubic root of 82429844 is about 435.2059517122.

The spelling of 82429844 in words is "eighty-two million, four hundred twenty-nine thousand, eight hundred forty-four".