28747565017248 has 1152 divisors, whose sum is σ = 100137986629632. Its totient is φ = 7132769280000.

The previous prime is 28747565017187. The next prime is 28747565017349. The reversal of 28747565017248 is 84271056574782.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 191 ways as a sum of consecutive naturals, for example, 53137827858 + ... + 53137828398.

It is an arithmetic number, because the mean of its divisors is an integer number (86925335616).

Almost surely, 2^{28747565017248} is an apocalyptic number.

28747565017248 is a gapful number since it is divisible by the number (28) 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 28747565017248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50068993314816).

28747565017248 is an abundant number, since it is smaller than the sum of its proper divisors (71390421612384).

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

28747565017248 is a wasteful number, since it uses less digits than its factorization.

28747565017248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 210739200, while the sum is 66.

The spelling of 28747565017248 in words is "twenty-eight trillion, seven hundred forty-seven billion, five hundred sixty-five million, seventeen thousand, two hundred forty-eight".