86838528 has 144 divisors (see below), whose sum is σ = 273732480. Its totient is φ = 23912448.

The previous prime is 86838523. The next prime is 86838553. The reversal of 86838528 is 82583868.

It is a super-3 number, since 3×86838528³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86838523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155626 + ... + 156182.

It is an arithmetic number, because the mean of its divisors is an integer number (1900920).

Almost surely, 2^86838528 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 86838528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136866240).

86838528 is an abundant number, since it is smaller than the sum of its proper divisors (186893952).

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

86838528 is a wasteful number, since it uses less digits than its factorization.

86838528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 598 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 86838528 is about 9318.7192253013. The cubic root of 86838528 is about 442.8304582504.

The spelling of 86838528 in words is "eighty-six million, eight hundred thirty-eight thousand, five hundred twenty-eight".