5062838400 has 288 divisors, whose sum is σ = 18152409600. Its totient is φ = 1343600640.

The previous prime is 5062838371. The next prime is 5062838419. The reversal of 5062838400 is 48382605.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10569361 + ... + 10569839.

It is an arithmetic number, because the mean of its divisors is an integer number (63029200).

Almost surely, 2^5062838400 is an apocalyptic number.

5062838400 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 5062838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9076204800).

5062838400 is an abundant number, since it is smaller than the sum of its proper divisors (13089571200).

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

5062838400 is a wasteful number, since it uses less digits than its factorization.

5062838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5062838400 is about 71153.6253468507. The cubic root of 5062838400 is about 1717.1096218714.

The spelling of 5062838400 in words is "five billion, sixty-two million, eight hundred thirty-eight thousand, four hundred".