5728350240 has 384 divisors, whose sum is σ = 20692869120. Its totient is φ = 1479389184.

The previous prime is 5728350217. The next prime is 5728350259. The reversal of 5728350240 is 420538275.

5728350240 is a `hidden beast` number, since 5 + 72 + 83 + 502 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5728350195 and 5728350204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29077822 + ... + 29078018.

It is an arithmetic number, because the mean of its divisors is an integer number (53887680).

Almost surely, 2^5728350240 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 5728350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10346434560).

5728350240 is an abundant number, since it is smaller than the sum of its proper divisors (14964518880).

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

5728350240 is a wasteful number, since it uses less digits than its factorization.

5728350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5728350240 is about 75685.8655232270. The cubic root of 5728350240 is about 1789.2726401979.

The spelling of 5728350240 in words is "five billion, seven hundred twenty-eight million, three hundred fifty thousand, two hundred forty".