5288400 has 180 divisors, whose sum is σ = 19938828. Its totient is φ = 1290240.

The previous prime is 5288399. The next prime is 5288417. The reversal of 5288400 is 48825.

It can be written as a sum of positive squares in 6 ways, for example, as 2005056 + 3283344 = 1416^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46744 + ... + 46856.

Almost surely, 2^5288400 is an apocalyptic number.

5288400 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 5288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9969414).

5288400 is an abundant number, since it is smaller than the sum of its proper divisors (14650428).

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

5288400 is a wasteful number, since it uses less digits than its factorization.

5288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5288400 is about 2299.6521476084. The cubic root of 5288400 is about 174.2240474939.

The spelling of 5288400 in words is "five million, two hundred eighty-eight thousand, four hundred".