28030424602752 has 768 divisors, whose sum is σ = 102869669952000. Its totient is φ = 7427978588160.

The previous prime is 28030424602751. The next prime is 28030424602793. The reversal of 28030424602752 is 25720642403082.

28030424602752 is a `hidden beast` number, since 2 + 8 + 0 + 30 + 4 + 2 + 4 + 602 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28030424602698 and 28030424602707.

It is not an unprimeable number, because it can be changed into a prime (28030424602751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121954563 + ... + 122184189.

It is an arithmetic number, because the mean of its divisors is an integer number (133944882750).

Almost surely, 2^{28030424602752} is an apocalyptic number.

28030424602752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28030424602752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51434834976000).

28030424602752 is an abundant number, since it is smaller than the sum of its proper divisors (74839245349248).

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

28030424602752 is a wasteful number, since it uses less digits than its factorization.

28030424602752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229706 (or 229675 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 28030424602752 in words is "twenty-eight trillion, thirty billion, four hundred twenty-four million, six hundred two thousand, seven hundred fifty-two".