5288500 has 48 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 1812000.

The previous prime is 5288489. The next prime is 5288509. The reversal of 5288500 is 58825.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2745 + ... + 4255.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

Almost surely, 2^5288500 is an apocalyptic number.

5288500 is a gapful number since it is divisible by the number (50) 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 5288500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

5288500 is an abundant number, since it is smaller than the sum of its proper divisors (7920332).

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

5288500 is a wasteful number, since it uses less digits than its factorization.

5288500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 5288500 is about 2299.6738899244. The cubic root of 5288500 is about 174.2251456392.

The spelling of 5288500 in words is "five million, two hundred eighty-eight thousand, five hundred".