5387793408 has 220 divisors, whose sum is σ = 17039874852. Its totient is φ = 1689845760.

The previous prime is 5387793407. The next prime is 5387793431. The reversal of 5387793408 is 8043977835.

5387793408 is a `hidden beast` number, since 538 + 7 + 79 + 34 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4541681664 + 846111744 = 67392^2 + 29088^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5387793407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1408138 + ... + 1411958.

Almost surely, 2^5387793408 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 5387793408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8519937426).

5387793408 is an abundant number, since it is smaller than the sum of its proper divisors (11652081444).

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

5387793408 is a wasteful number, since it uses less digits than its factorization.

5387793408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3870 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 5387793408 is about 73401.5899555316. The cubic root of 5387793408 is about 1753.0877088811.

The spelling of 5387793408 in words is "five billion, three hundred eighty-seven million, seven hundred ninety-three thousand, four hundred eight".