82028700 has 360 divisors, whose sum is σ = 308782320. Its totient is φ = 18662400.

The previous prime is 82028671. The next prime is 82028707. The reversal of 82028700 is 782028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82028707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2000680 + ... + 2000720.

Almost surely, 2^82028700 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 82028700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154391160).

82028700 is an abundant number, since it is smaller than the sum of its proper divisors (226753620).

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

82028700 is a wasteful number, since it uses less digits than its factorization.

82028700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 82028700 is about 9056.9696919003. The cubic root of 82028700 is about 434.4988282820.

It can be divided in two parts, 82028 and 700, that added together give a palindrome (82728).

The spelling of 82028700 in words is "eighty-two million, twenty-eight thousand, seven hundred".