27283828011024 has 480 divisors, whose sum is σ = 81879834783744. Its totient is φ = 7797329879040.

The previous prime is 27283828010987. The next prime is 27283828011029. The reversal of 27283828011024 is 42011082838272.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (27283828011029) 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, 3998798877 + ... + 3998805699.

Almost surely, 2^{27283828011024} is an apocalyptic number.

27283828011024 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 27283828011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40939917391872).

27283828011024 is an abundant number, since it is smaller than the sum of its proper divisors (54596006772720).

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

27283828011024 is a wasteful number, since it uses less digits than its factorization.

27283828011024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7255 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 27283828011024 in words is "twenty-seven trillion, two hundred eighty-three billion, eight hundred twenty-eight million, eleven thousand, twenty-four".