4288536 has 96 divisors (see below), whose sum is σ = 13578240. Its totient is φ = 1197504.

The previous prime is 4288517. The next prime is 4288541. The reversal of 4288536 is 6358824.

4288536 is a `hidden beast` number, since 42 + 88 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁶ + 2¹¹ + 8⁷ + 8⁷ + 5⁷ + 3⁷ + 6⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 4288536.

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, 33705 + ... + 33831.

It is an arithmetic number, because the mean of its divisors is an integer number (141440).

Almost surely, 2^4288536 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 4288536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789120).

4288536 is an abundant number, since it is smaller than the sum of its proper divisors (9289704).

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

4288536 is a wasteful number, since it uses less digits than its factorization.

4288536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4288536 is about 2070.8780746340. The cubic root of 4288536 is about 162.4686929826.

The spelling of 4288536 in words is "four million, two hundred eighty-eight thousand, five hundred thirty-six".