82254528 has 196 divisors, whose sum is σ = 256522728. Its totient is φ = 26127360.

The previous prime is 82254511. The next prime is 82254533. The reversal of 82254528 is 82545228.

82254528 is a `hidden beast` number, since 82 + 2 + 54 + 528 = 666.

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 = 82254492 and 82254501.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1912875 + ... + 1912917.

Almost surely, 2^82254528 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 82254528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128261364).

82254528 is an abundant number, since it is smaller than the sum of its proper divisors (174268200).

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

82254528 is an equidigital number, since it uses as much as digits as its factorization.

82254528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 82254528 is about 9069.4282068938. The cubic root of 82254528 is about 434.8971933030.

The spelling of 82254528 in words is "eighty-two million, two hundred fifty-four thousand, five hundred twenty-eight".