5410938288 has 120 divisors (see below), whose sum is σ = 16289760960. Its totient is φ = 1543194240.

The previous prime is 5410938283. The next prime is 5410938311. The reversal of 5410938288 is 8828390145.

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

It is not an unprimeable number, because it can be changed into a prime (5410938283) 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 23 ways as a sum of consecutive naturals, for example, 1548223 + ... + 1551713.

It is an arithmetic number, because the mean of its divisors is an integer number (135748008).

Almost surely, 2^5410938288 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 5410938288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8144880480).

5410938288 is an abundant number, since it is smaller than the sum of its proper divisors (10878822672).

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

5410938288 is a wasteful number, since it uses less digits than its factorization.

5410938288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 5410938288 is about 73559.0802552615. The cubic root of 5410938288 is about 1755.5944272568.

The spelling of 5410938288 in words is "five billion, four hundred ten million, nine hundred thirty-eight thousand, two hundred eighty-eight".