28120771356832 has 768 divisors, whose sum is σ = 76327594721280. Its totient is φ = 9868079923200.

The previous prime is 28120771356823. The next prime is 28120771356833. The reversal of 28120771356832 is 23865317702182.

It is a happy number.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (28120771356833) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45874014958 + ... + 45874015570.

It is an arithmetic number, because the mean of its divisors is an integer number (99384888960).

Almost surely, 2^{28120771356832} is an apocalyptic number.

28120771356832 is a gapful number since it is divisible by the number (22) 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 28120771356832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38163797360640).

28120771356832 is an abundant number, since it is smaller than the sum of its proper divisors (48206823364448).

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

28120771356832 is a wasteful number, since it uses less digits than its factorization.

28120771356832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 28120771356832 in words is "twenty-eight trillion, one hundred twenty billion, seven hundred seventy-one million, three hundred fifty-six thousand, eight hundred thirty-two".