5128690840 has 384 divisors, whose sum is σ = 15370629120. Its totient is φ = 1524096000.

The previous prime is 5128690837. The next prime is 5128690867. The reversal of 5128690840 is 480968215.

It is a happy number.

It is a super-3 number, since 3×5128690840³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33964765 + ... + 33964915.

It is an arithmetic number, because the mean of its divisors is an integer number (40027680).

Almost surely, 2^5128690840 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 5128690840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685314560).

5128690840 is an abundant number, since it is smaller than the sum of its proper divisors (10241938280).

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

5128690840 is a wasteful number, since it uses less digits than its factorization.

5128690840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 5128690840 is about 71614.8786216942. The cubic root of 5128690840 is about 1724.5224011413.

The spelling of 5128690840 in words is "five billion, one hundred twenty-eight million, six hundred ninety thousand, eight hundred forty".