86329728000 has 528 divisors, whose sum is σ = 313939121184. Its totient is φ = 22811443200.

The previous prime is 86329727971. The next prime is 86329728007. The reversal of 86329728000 is 82792368.

86329728000 is a `hidden beast` number, since 8 + 632 + 9 + 7 + 2 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86329728007) 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 47 ways as a sum of consecutive naturals, for example, 157823727 + ... + 157824273.

Almost surely, 2^86329728000 is an apocalyptic number.

86329728000 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 86329728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156969560592).

86329728000 is an abundant number, since it is smaller than the sum of its proper divisors (227609393184).

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

86329728000 is a wasteful number, since it uses less digits than its factorization.

86329728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 86329728000 in words is "eighty-six billion, three hundred twenty-nine million, seven hundred twenty-eight thousand".