28013507121984 has 112 divisors (see below), whose sum is σ = 76513243301376. Its totient is φ = 9036233164800.

The previous prime is 28013507121923. The next prime is 28013507122147. The reversal of 28013507121984 is 48912170531082.

It is a happy number.

It is a hoax number, since the sum of its digits (51) 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 15 ways as a sum of consecutive naturals, for example, 163219254 + ... + 163390794.

It is an arithmetic number, because the mean of its divisors is an integer number (683153958048).

Almost surely, 2^{28013507121984} is an apocalyptic number.

28013507121984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28013507121984 is an abundant number, since it is smaller than the sum of its proper divisors (48499736179392).

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

28013507121984 is a wasteful number, since it uses less digits than its factorization.

28013507121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199024 (or 199014 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 28013507121984 in words is "twenty-eight trillion, thirteen billion, five hundred seven million, one hundred twenty-one thousand, nine hundred eighty-four".