28748710250496 has 1152 divisors, whose sum is σ = 94197841920000. Its totient is φ = 8404231127040.

The previous prime is 28748710250461. The next prime is 28748710250497. The reversal of 28748710250496 is 69405201784782.

It is a happy number.

28748710250496 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 87 + 10 + 2 + 50 + 496 = 666.

28748710250496 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (28748710250497) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39984297625 + ... + 39984298343.

It is an arithmetic number, because the mean of its divisors is an integer number (81768960000).

Almost surely, 2^{28748710250496} 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 28748710250496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47098920960000).

28748710250496 is an abundant number, since it is smaller than the sum of its proper divisors (65449131669504).

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

28748710250496 is a wasteful number, since it uses less digits than its factorization.

28748710250496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 28748710250496 in words is "twenty-eight trillion, seven hundred forty-eight billion, seven hundred ten million, two hundred fifty thousand, four hundred ninety-six".