5138284410 has 480 divisors, whose sum is σ = 17440448256. Its totient is φ = 1060646400.

The previous prime is 5138284363. The next prime is 5138284423. The reversal of 5138284410 is 144828315.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 125323990 + ... + 125324030.

Almost surely, 2^5138284410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5138284410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8720224128).

5138284410 is an abundant number, since it is smaller than the sum of its proper divisors (12302163846).

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

5138284410 is a wasteful number, since it uses less digits than its factorization.

5138284410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 112 counting only the distinct ones).

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

The square root of 5138284410 is about 71681.8276134196. The cubic root of 5138284410 is about 1725.5970107461.

The spelling of 5138284410 in words is "five billion, one hundred thirty-eight million, two hundred eighty-four thousand, four hundred ten".