4086528 has 72 divisors (see below), whose sum is σ = 11552688. Its totient is φ = 1277952.

The previous prime is 4086527. The next prime is 4086529. The reversal of 4086528 is 8256804.

It is an interprime number because it is at equal distance from previous prime (4086527) and next prime (4086529).

It is a super-2 number, since 2×4086528² = 33399422189568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4086521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12900 + ... + 13212.

It is an arithmetic number, because the mean of its divisors is an integer number (160454).

Almost surely, 2^4086528 is an apocalyptic number.

4086528 is a gapful number since it is divisible by the number (48) 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 4086528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5776344).

4086528 is an abundant number, since it is smaller than the sum of its proper divisors (7466160).

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

4086528 is a wasteful number, since it uses less digits than its factorization.

4086528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 4086528 is about 2021.5162626108. The cubic root of 4086528 is about 159.8765714749.

It can be divided in two parts, 408 and 6528, that multiplied together give a square (2663424 = 1632²).

The spelling of 4086528 in words is "four million, eighty-six thousand, five hundred twenty-eight".