5884838400 has 240 divisors, whose sum is σ = 22218381504. Its totient is φ = 1345044480.

The previous prime is 5884838381. The next prime is 5884838417. The reversal of 5884838400 is 48384885.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5884838400² = 69262645988229120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5884838400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257854 + ... + 279746.

Almost surely, 2^5884838400 is an apocalyptic number.

5884838400 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 5884838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11109190752).

5884838400 is an abundant number, since it is smaller than the sum of its proper divisors (16333543104).

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

5884838400 is a wasteful number, since it uses less digits than its factorization.

5884838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21931 (or 21910 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The square root of 5884838400 is about 76712.7003826615. The cubic root of 5884838400 is about 1805.4197145017.

The spelling of 5884838400 in words is "five billion, eight hundred eighty-four million, eight hundred thirty-eight thousand, four hundred".