5382888 has 48 divisors (see below), whose sum is σ = 15466080. Its totient is φ = 1529376.

The previous prime is 5382887. The next prime is 5382889. The reversal of 5382888 is 8882835.

It is an interprime number because it is at equal distance from previous prime (5382887) and next prime (5382889).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5382887) 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, 29983 + ... + 30161.

It is an arithmetic number, because the mean of its divisors is an integer number (322210).

Almost surely, 2^5382888 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 5382888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7733040).

5382888 is an abundant number, since it is smaller than the sum of its proper divisors (10083192).

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

5382888 is a wasteful number, since it uses less digits than its factorization.

5382888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 191 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 5382888 is about 2320.1051700300. The cubic root of 5382888 is about 175.2555504505.

Multiplying 5382888 by its sum of digits (42), we get a square (226081296 = 15036²).

5382888 divided by its sum of digits (42) gives a square (128164 = 358²).

The spelling of 5382888 in words is "five million, three hundred eighty-two thousand, eight hundred eighty-eight".