28707162624 has 480 divisors, whose sum is σ = 102953410560. Its totient is φ = 7514726400.

The previous prime is 28707162623. The next prime is 28707162637. The reversal of 28707162624 is 42626170782.

It is a happy number.

28707162624 is a `hidden beast` number, since 2 + 8 + 7 + 0 + 7 + 16 + 2 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28707162624.

It is not an unprimeable number, because it can be changed into a prime (28707162623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18998029 + ... + 18999539.

It is an arithmetic number, because the mean of its divisors is an integer number (214486272).

Almost surely, 2^28707162624 is an apocalyptic number.

28707162624 is a gapful number since it is divisible by the number (24) 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 28707162624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51476705280).

28707162624 is an abundant number, since it is smaller than the sum of its proper divisors (74246247936).

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

28707162624 is a wasteful number, since it uses less digits than its factorization.

28707162624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 28707162624 in words is "twenty-eight billion, seven hundred seven million, one hundred sixty-two thousand, six hundred twenty-four".