28748722335840 has 1152 divisors, whose sum is σ = 112969933614720. Its totient is φ = 6787316809728.

The previous prime is 28748722335793. The next prime is 28748722335857. The reversal of 28748722335840 is 4853322784782.

28748722335840 is a `hidden beast` number, since 2 + 8 + 7 + 48 + 7 + 2 + 2 + 3 + 3 + 584 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7415195982 + ... + 7415199858.

It is an arithmetic number, because the mean of its divisors is an integer number (98064178485).

Almost surely, 2^{28748722335840} is an apocalyptic number.

28748722335840 is a gapful number since it is divisible by the number (20) 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 28748722335840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56484966807360).

28748722335840 is an abundant number, since it is smaller than the sum of its proper divisors (84221211278880).

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

28748722335840 is a wasteful number, since it uses less digits than its factorization.

28748722335840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 28748722335840 in words is "twenty-eight trillion, seven hundred forty-eight billion, seven hundred twenty-two million, three hundred thirty-five thousand, eight hundred forty".