86028800 has 240 divisors, whose sum is σ = 255733632. Its totient is φ = 28262400.

The previous prime is 86028791. The next prime is 86028829. The reversal of 86028800 is 882068.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1830377 + ... + 1830423.

Almost surely, 2^86028800 is an apocalyptic number.

86028800 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 86028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127866816).

86028800 is an abundant number, since it is smaller than the sum of its proper divisors (169704832).

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

86028800 is a wasteful number, since it uses less digits than its factorization.

86028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 86028800 is about 9275.1711574504. The cubic root of 86028800 is about 441.4497633586.

The spelling of 86028800 in words is "eighty-six million, twenty-eight thousand, eight hundred".