5128583040 has 576 divisors, whose sum is σ = 21395752560. Its totient is φ = 1170505728.

The previous prime is 5128583027. The next prime is 5128583041. The reversal of 5128583040 is 403858215.

It is a happy number.

5128583040 is a `hidden beast` number, since 51 + 28 + 583 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 5128582986 and 5128583004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5128583041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7620144 + ... + 7620816.

Almost surely, 2^5128583040 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 5128583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10697876280).

5128583040 is an abundant number, since it is smaller than the sum of its proper divisors (16267169520).

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

5128583040 is an equidigital number, since it uses as much as digits as its factorization.

5128583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5128583040 is about 71614.1259808426. The cubic root of 5128583040 is about 1724.5103184725.

The spelling of 5128583040 in words is "five billion, one hundred twenty-eight million, five hundred eighty-three thousand, forty".