5328781920 has 864 divisors, whose sum is σ = 24281135424. Its totient is φ = 1038090240.

The previous prime is 5328781889. The next prime is 5328781961. The reversal of 5328781920 is 291878235.

It is a happy number.

5328781920 is a `hidden beast` number, since 532 + 87 + 8 + 19 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20734432 + ... + 20734688.

It is an arithmetic number, because the mean of its divisors is an integer number (28103166).

Almost surely, 2^5328781920 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 5328781920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12140567712).

5328781920 is an abundant number, since it is smaller than the sum of its proper divisors (18952353504).

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

5328781920 is a wasteful number, since it uses less digits than its factorization.

5328781920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 5328781920 is about 72998.5062860878. The cubic root of 5328781920 is about 1746.6637848045.

The spelling of 5328781920 in words is "five billion, three hundred twenty-eight million, seven hundred eighty-one thousand, nine hundred twenty".