5283936 has 72 divisors (see below), whose sum is σ = 17179344. Its totient is φ = 1509120.

The previous prime is 5283913. The next prime is 5283937. The reversal of 5283936 is 6393825.

It is a tau number, because it is divible by the number of its divisors (72).

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 5⁶ + 2²² + 8⁶ + 3⁵ + 9⁶ + 3⁵ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 5283936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5283937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706 + ... + 3326.

It is an arithmetic number, because the mean of its divisors is an integer number (238602).

Almost surely, 2^5283936 is an apocalyptic number.

5283936 is a gapful number since it is divisible by the number (56) 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 5283936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8589672).

5283936 is an abundant number, since it is smaller than the sum of its proper divisors (11895408).

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

5283936 is a wasteful number, since it uses less digits than its factorization.

5283936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644 (or 2633 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 5283936 is about 2298.6813611286. The cubic root of 5283936 is about 174.1750121787.

The spelling of 5283936 in words is "five million, two hundred eighty-three thousand, nine hundred thirty-six".