28756857083248 has 240 divisors, whose sum is σ = 67100665282560. Its totient is φ = 11895975705600.

The previous prime is 28756857083243. The next prime is 28756857083257. The reversal of 28756857083248 is 84238075865782.

It is a Smith number, since the sum of its digits (73) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28756857083243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4234550733 + ... + 4234557523.

It is an arithmetic number, because the mean of its divisors is an integer number (279586105344).

Almost surely, 2^{28756857083248} is an apocalyptic number.

28756857083248 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 28756857083248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33550332641280).

28756857083248 is an abundant number, since it is smaller than the sum of its proper divisors (38343808199312).

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

28756857083248 is a wasteful number, since it uses less digits than its factorization.

28756857083248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8236 (or 8223 counting only the distinct ones).

The product of its (nonzero) digits is 1445068800, while the sum is 73.

The spelling of 28756857083248 in words is "twenty-eight trillion, seven hundred fifty-six billion, eight hundred fifty-seven million, eighty-three thousand, two hundred forty-eight".