86828000 has 144 divisors (see below), whose sum is σ = 248727024. Its totient is φ = 29702400.

The previous prime is 86827991. The next prime is 86828023. The reversal of 86828000 is 82868.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195779 + ... + 196221.

It is an arithmetic number, because the mean of its divisors is an integer number (1727271).

Almost surely, 2^86828000 is an apocalyptic number.

86828000 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 86828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124363512).

86828000 is an abundant number, since it is smaller than the sum of its proper divisors (161899024).

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

86828000 is a wasteful number, since it uses less digits than its factorization.

86828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 457 counting only the distinct ones).

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

The square root of 86828000 is about 9318.1543236845. The cubic root of 86828000 is about 442.8125617875.

The spelling of 86828000 in words is "eighty-six million, eight hundred twenty-eight thousand".