5738028576 has 432 divisors, whose sum is σ = 19263847680. Its totient is φ = 1489259520.

The previous prime is 5738028521. The next prime is 5738028577. The reversal of 5738028576 is 6758208375.

It is not an unprimeable number, because it can be changed into a prime (5738028577) 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 71 ways as a sum of consecutive naturals, for example, 52642410 + ... + 52642518.

It is an arithmetic number, because the mean of its divisors is an integer number (44592240).

Almost surely, 2^5738028576 is an apocalyptic number.

5738028576 is a gapful number since it is divisible by the number (56) 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 5738028576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9631923840).

5738028576 is an abundant number, since it is smaller than the sum of its proper divisors (13525819104).

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

5738028576 is a wasteful number, since it uses less digits than its factorization.

5738028576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The square root of 5738028576 is about 75749.7760788770. The cubic root of 5738028576 is about 1790.2797619389.

The spelling of 5738028576 in words is "five billion, seven hundred thirty-eight million, twenty-eight thousand, five hundred seventy-six".