5288958400 has 252 divisors, whose sum is σ = 15155686224. Its totient is φ = 1808998400.

The previous prime is 5288958379. The next prime is 5288958401. The reversal of 5288958400 is 48598825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288958401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3290397 + ... + 3292003.

It is an arithmetic number, because the mean of its divisors is an integer number (60141612).

Almost surely, 2^5288958400 is an apocalyptic number.

5288958400 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 5288958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577843112).

5288958400 is an abundant number, since it is smaller than the sum of its proper divisors (9866727824).

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

5288958400 is a wasteful number, since it uses less digits than its factorization.

5288958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 49.

The square root of 5288958400 is about 72725.2253348176. The cubic root of 5288958400 is about 1742.3017936011.

The spelling of 5288958400 in words is "five billion, two hundred eighty-eight million, nine hundred fifty-eight thousand, four hundred".