5388000408 has 192 divisors, whose sum is σ = 17184960000. Its totient is φ = 1524293568.

The previous prime is 5388000407. The next prime is 5388000413. The reversal of 5388000408 is 8040008835.

5388000408 is a `hidden beast` number, since 538 + 80 + 0 + 0 + 40 + 8 = 666.

It is a Cunningham number, because it is equal to 73403²-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5388000407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2641453 + ... + 2643491.

It is an arithmetic number, because the mean of its divisors is an integer number (89505000).

Almost surely, 2^5388000408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5388000408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8592480000).

5388000408 is an abundant number, since it is smaller than the sum of its proper divisors (11796959592).

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

5388000408 is a wasteful number, since it uses less digits than its factorization.

5388000408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5388000408 is about 73402.9999931883. Note that the first 5 decimals coincide. The cubic root of 5388000408 is about 1753.1101599095.

The spelling of 5388000408 in words is "five billion, three hundred eighty-eight million, four hundred eight", and thus it is an aban number.