5338324992 has 672 divisors, whose sum is σ = 20081101824. Its totient is φ = 1238630400.

The previous prime is 5338324973. The next prime is 5338324997. The reversal of 5338324992 is 2994238335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5338324997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172204017 + ... + 172204047.

It is an arithmetic number, because the mean of its divisors is an integer number (29882592).

Almost surely, 2^5338324992 is an apocalyptic number.

5338324992 is a gapful number since it is divisible by the number (52) 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 5338324992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10040550912).

5338324992 is an abundant number, since it is smaller than the sum of its proper divisors (14742776832).

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

5338324992 is a wasteful number, since it uses less digits than its factorization.

5338324992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 67 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 5338324992 is about 73063.8418918688. The cubic root of 5338324992 is about 1747.7058364458.

The spelling of 5338324992 in words is "five billion, three hundred thirty-eight million, three hundred twenty-four thousand, nine hundred ninety-two".