82712028 has 24 divisors (see below), whose sum is σ = 220565632. Its totient is φ = 23631984.

The previous prime is 82712023. The next prime is 82712033. The reversal of 82712028 is 82021728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82712023) and next prime (82712033).

It is a junction number, because it is equal to n+sod(n) for n = 82711986 and 82712004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82712023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492250 + ... + 492417.

Almost surely, 2^82712028 is an apocalyptic number.

It is an amenable number.

82712028 is an abundant number, since it is smaller than the sum of its proper divisors (137853604).

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

82712028 is a wasteful number, since it uses less digits than its factorization.

82712028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984681 (or 984679 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 82712028 is about 9094.6153299631. The cubic root of 82712028 is about 435.7020029760.

The spelling of 82712028 in words is "eighty-two million, seven hundred twelve thousand, twenty-eight".