5007961728 has 896 divisors, whose sum is σ = 20228019840. Its totient is φ = 1194393600.

The previous prime is 5007961709. The next prime is 5007961733. The reversal of 5007961728 is 8271697005.

5007961728 is a `hidden beast` number, since 5 + 0 + 0 + 7 + 9 + 617 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×5007961728² = 50159361338225491968, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 122145388 + ... + 122145428.

It is an arithmetic number, because the mean of its divisors is an integer number (22575915).

Almost surely, 2^5007961728 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 5007961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10114009920).

5007961728 is an abundant number, since it is smaller than the sum of its proper divisors (15220058112).

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

5007961728 is a wasteful number, since it uses less digits than its factorization.

5007961728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 5007961728 is about 70766.9536436323. The cubic root of 5007961728 is about 1710.8830895769.

The spelling of 5007961728 in words is "five billion, seven million, nine hundred sixty-one thousand, seven hundred twenty-eight".