82528056000 has 672 divisors, whose sum is σ = 326655184128. Its totient is φ = 19757260800.

The previous prime is 82528055977. The next prime is 82528056019. The reversal of 82528056000 is 65082528.

82528056000 is a `hidden beast` number, since 8 + 25 + 28 + 0 + 5 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34630809 + ... + 34633191.

It is an arithmetic number, because the mean of its divisors is an integer number (486094024).

Almost surely, 2^82528056000 is an apocalyptic number.

82528056000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82528056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163327592064).

82528056000 is an abundant number, since it is smaller than the sum of its proper divisors (244127128128).

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

82528056000 is a wasteful number, since it uses less digits than its factorization.

82528056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 82528056000 in words is "eighty-two billion, five hundred twenty-eight million, fifty-six thousand".