82120428 has 72 divisors (see below), whose sum is σ = 224825328. Its totient is φ = 25123968.

The previous prime is 82120393. The next prime is 82120429. The reversal of 82120428 is 82402128.

It is not an unprimeable number, because it can be changed into a prime (82120429) 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, 105850 + ... + 106622.

It is an arithmetic number, because the mean of its divisors is an integer number (3122574).

Almost surely, 2^82120428 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 82120428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112412664).

82120428 is an abundant number, since it is smaller than the sum of its proper divisors (142704900).

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

82120428 is a wasteful number, since it uses less digits than its factorization.

82120428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 82120428 is about 9062.0322224102. The cubic root of 82120428 is about 434.6607263398.

The spelling of 82120428 in words is "eighty-two million, one hundred twenty thousand, four hundred twenty-eight".