5335728000 has 256 divisors, whose sum is σ = 17901000000. Its totient is φ = 1405747200.

The previous prime is 5335727923. The next prime is 5335728017. The reversal of 5335728000 is 8275335.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4271376 + ... + 4272624.

Almost surely, 2^5335728000 is an apocalyptic number.

5335728000 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 5335728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8950500000).

5335728000 is an abundant number, since it is smaller than the sum of its proper divisors (12565272000).

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

5335728000 is a wasteful number, since it uses less digits than its factorization.

5335728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 5335728000 is about 73046.0676559663. The cubic root of 5335728000 is about 1747.4223820982.

The spelling of 5335728000 in words is "five billion, three hundred thirty-five million, seven hundred twenty-eight thousand".