5738428800 has 720 divisors, whose sum is σ = 23105334780. Its totient is φ = 1401753600.

The previous prime is 5738428799. The next prime is 5738428807. The reversal of 5738428800 is 88248375.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5738428807) 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 89 ways as a sum of consecutive naturals, for example, 43804735 + ... + 43804865.

Almost surely, 2^5738428800 is an apocalyptic number.

5738428800 is a gapful number since it is divisible by the number (50) 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 5738428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11552667390).

5738428800 is an abundant number, since it is smaller than the sum of its proper divisors (17366905980).

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

5738428800 is a wasteful number, since it uses less digits than its factorization.

5738428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5738428800 is about 75752.4177831969. The cubic root of 5738428800 is about 1790.3213846124.

The spelling of 5738428800 in words is "five billion, seven hundred thirty-eight million, four hundred twenty-eight thousand, eight hundred".