82404828 has 72 divisors (see below), whose sum is σ = 231154560. Its totient is φ = 24540960.

The previous prime is 82404827. The next prime is 82404853. The reversal of 82404828 is 82840428.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82404792 and 82404801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82404827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21601 + ... + 25127.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2^82404828 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 82404828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

82404828 is an abundant number, since it is smaller than the sum of its proper divisors (148749732).

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

82404828 is a wasteful number, since it uses less digits than its factorization.

82404828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 82404828 is about 9077.7105043067. The cubic root of 82404828 is about 435.1619214877.

Subtracting 82404828 from its reverse (82840428), we obtain a square (435600 = 660²).

The spelling of 82404828 in words is "eighty-two million, four hundred four thousand, eight hundred twenty-eight".