5286432 has 48 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1727232.

The previous prime is 5286431. The next prime is 5286433. The reversal of 5286432 is 2346825.

It is an interprime number because it is at equal distance from previous prime (5286431) and next prime (5286433).

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 5⁸ + 2⁵ + 8⁶ + 6² + 4⁹ + 3¹¹ + 2²² .

It is a self number, because there is not a number n which added to its sum of digits gives 5286432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5286431) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4569 + ... + 5607.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^5286432 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 5286432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

5286432 is an abundant number, since it is smaller than the sum of its proper divisors (8865888).

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

5286432 is a wasteful number, since it uses less digits than its factorization.

5286432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 5286432 is about 2299.2242169915. The cubic root of 5286432 is about 174.2024331766.

The spelling of 5286432 in words is "five million, two hundred eighty-six thousand, four hundred thirty-two".